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Finding the Fourth Proportional to 71,200.82, 106,735.62 and 36,132.28

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Solution

The fourth proportional to 71,200.82, 106,735.62 and 36,132.28 is: 54,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,200.82 : 106,735.62 = 36,132.28 : x
  2. Step 2: Convert to fraction form
    71,200.82/106,735.62 = 36,132.28/x
  3. Step 3: Cross multiply
    71,200.82x = 106,735.62 × 36,132.28
  4. Step 4: Simplify right side
    71,200.82x = 3,856,601,176.47
  5. Step 5: Solve for x
    x = 3,856,601,176.47/71,200.82
  6. Step 6: Final answer
    x = 54,165.12

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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.