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Finding the Fourth Proportional to 71,132.58, 106,765.86 and 36,097.38

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Solution

The fourth proportional to 71,132.58, 106,765.86 and 36,097.38 is: 54,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,132.58 : 106,765.86 = 36,097.38 : x
  2. Step 2: Convert to fraction form
    71,132.58/106,765.86 = 36,097.38/x
  3. Step 3: Cross multiply
    71,132.58x = 106,765.86 × 36,097.38
  4. Step 4: Simplify right side
    71,132.58x = 3,853,967,819.45
  5. Step 5: Solve for x
    x = 3,853,967,819.45/71,132.58
  6. Step 6: Final answer
    x = 54,180.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.