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Finding the Fourth Proportional to 81,159.90, 111,950.96 and 52,432.97

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Solution

The fourth proportional to 81,159.90, 111,950.96 and 52,432.97 is: 72,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,159.90 : 111,950.96 = 52,432.97 : x
  2. Step 2: Convert to fraction form
    81,159.90/111,950.96 = 52,432.97/x
  3. Step 3: Cross multiply
    81,159.90x = 111,950.96 × 52,432.97
  4. Step 4: Simplify right side
    81,159.90x = 5,869,921,327.15
  5. Step 5: Solve for x
    x = 5,869,921,327.15/81,159.90
  6. Step 6: Final answer
    x = 72,325.39

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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.