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Finding the Fourth Proportional to 76,531.38, 105,614.73 and 42,542.70

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Solution

The fourth proportional to 76,531.38, 105,614.73 and 42,542.70 is: 58,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,531.38 : 105,614.73 = 42,542.70 : x
  2. Step 2: Convert to fraction form
    76,531.38/105,614.73 = 42,542.70/x
  3. Step 3: Cross multiply
    76,531.38x = 105,614.73 × 42,542.70
  4. Step 4: Simplify right side
    76,531.38x = 4,493,135,773.97
  5. Step 5: Solve for x
    x = 4,493,135,773.97/76,531.38
  6. Step 6: Final answer
    x = 58,709.72

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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.