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Finding the Fourth Proportional to 78,394.38, 108,229.13 and 51,614.73

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Solution

The fourth proportional to 78,394.38, 108,229.13 and 51,614.73 is: 71,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394.38 : 108,229.13 = 51,614.73 : x
  2. Step 2: Convert to fraction form
    78,394.38/108,229.13 = 51,614.73/x
  3. Step 3: Cross multiply
    78,394.38x = 108,229.13 × 51,614.73
  4. Step 4: Simplify right side
    78,394.38x = 5,586,217,323.08
  5. Step 5: Solve for x
    x = 5,586,217,323.08/78,394.38
  6. Step 6: Final answer
    x = 71,257.88

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Why These Related Problems?

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