It takes a hose 4 minutes to fill a rectangular aquarium 9 inches long, 11 inches wide, and 12 inches tall. How long will it take the same hose to fill an aquarium measuring 21 inches by 23 inches by 32 inches? Round your answer to the nearest minute.

The first aquarium has a volume of: {eq}\text{ Volume} = \text{ length} times \text{ width} times \text{ height} = 9 times 11 times 12 = 1188 \text{ cubic inches} {/eq} The second aquarium has a volume of: {eq}\text{ Volume} = \text{ length} times \text{ width} times \text{ height} = 21 times 23 times 32 = 15264 \text{ cubic inches} {/eq} Since we know that the hose takes 4 minutes to fill the first aquarium, we can set up a proportion to find how long it will take to fill the second aquarium: {eq}frac{4 \text{ minutes}}{1188 \text{ cubic inches}} = \frac{x \text{ minutes}}{15264 \text{ cubic inches}} {/eq} Solving for x, we get: {eq}x = \frac{4 \text{ minutes} times 15264 \text{ cubic inches}}{1188 \text{ cubic inches}} \approx 51 \text{ minutes} {/eq} Therefore, it will take the same hose \approx imately 51 minutes to fill the larger aquarium. Rounding to the nearest minute, the final answer is 51 minutes.