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Finding the Fourth Proportional to 71,542.78, 98,730.20 and 39,280.38

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Solution

The fourth proportional to 71,542.78, 98,730.20 and 39,280.38 is: 54,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,542.78 : 98,730.20 = 39,280.38 : x
  2. Step 2: Convert to fraction form
    71,542.78/98,730.20 = 39,280.38/x
  3. Step 3: Cross multiply
    71,542.78x = 98,730.20 × 39,280.38
  4. Step 4: Simplify right side
    71,542.78x = 3,878,159,773.48
  5. Step 5: Solve for x
    x = 3,878,159,773.48/71,542.78
  6. Step 6: Final answer
    x = 54,207.56

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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.