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Finding the Fourth Proportional to 31,715.57, 43,785.42 and 21,658.61

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Solution

The fourth proportional to 31,715.57, 43,785.42 and 21,658.61 is: 29,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.57 : 43,785.42 = 21,658.61 : x
  2. Step 2: Convert to fraction form
    31,715.57/43,785.42 = 21,658.61/x
  3. Step 3: Cross multiply
    31,715.57x = 43,785.42 × 21,658.61
  4. Step 4: Simplify right side
    31,715.57x = 948,331,335.47
  5. Step 5: Solve for x
    x = 948,331,335.47/31,715.57
  6. Step 6: Final answer
    x = 29,901.13

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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.