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Finding the Fourth Proportional to 31,939.74, 44,082.09 and 17,797.14

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Solution

The fourth proportional to 31,939.74, 44,082.09 and 17,797.14 is: 24,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,939.74 : 44,082.09 = 17,797.14 : x
  2. Step 2: Convert to fraction form
    31,939.74/44,082.09 = 17,797.14/x
  3. Step 3: Cross multiply
    31,939.74x = 44,082.09 × 17,797.14
  4. Step 4: Simplify right side
    31,939.74x = 784,535,127.22
  5. Step 5: Solve for x
    x = 784,535,127.22/31,939.74
  6. Step 6: Final answer
    x = 24,562.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.