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Finding the Fourth Proportional to 59,227.78, 81,757.38 and 40,098.20

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Solution

The fourth proportional to 59,227.78, 81,757.38 and 40,098.20 is: 55,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,227.78 : 81,757.38 = 40,098.20 : x
  2. Step 2: Convert to fraction form
    59,227.78/81,757.38 = 40,098.20/x
  3. Step 3: Cross multiply
    59,227.78x = 81,757.38 × 40,098.20
  4. Step 4: Simplify right side
    59,227.78x = 3,278,323,774.72
  5. Step 5: Solve for x
    x = 3,278,323,774.72/59,227.78
  6. Step 6: Final answer
    x = 55,351.12

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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.