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Finding the Fourth Proportional to 31,932.60, 44,065.80 and 17,785.14

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Solution

The fourth proportional to 31,932.60, 44,065.80 and 17,785.14 is: 24,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932.60 : 44,065.80 = 17,785.14 : x
  2. Step 2: Convert to fraction form
    31,932.60/44,065.80 = 17,785.14/x
  3. Step 3: Cross multiply
    31,932.60x = 44,065.80 × 17,785.14
  4. Step 4: Simplify right side
    31,932.60x = 783,716,422.21
  5. Step 5: Solve for x
    x = 783,716,422.21/31,932.60
  6. Step 6: Final answer
    x = 24,542.83

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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.