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Finding the Fourth Proportional to 62,414.70, 86,132.16 and 34,120.38

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Solution

The fourth proportional to 62,414.70, 86,132.16 and 34,120.38 is: 47,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,414.70 : 86,132.16 = 34,120.38 : x
  2. Step 2: Convert to fraction form
    62,414.70/86,132.16 = 34,120.38/x
  3. Step 3: Cross multiply
    62,414.70x = 86,132.16 × 34,120.38
  4. Step 4: Simplify right side
    62,414.70x = 2,938,862,029.42
  5. Step 5: Solve for x
    x = 2,938,862,029.42/62,414.70
  6. Step 6: Final answer
    x = 47,086.06

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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.