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Finding the Fourth Proportional to 71,202.62, 106,710.50 and 52,394.59

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Solution

The fourth proportional to 71,202.62, 106,710.50 and 52,394.59 is: 78,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.62 : 106,710.50 = 52,394.59 : x
  2. Step 2: Convert to fraction form
    71,202.62/106,710.50 = 52,394.59/x
  3. Step 3: Cross multiply
    71,202.62x = 106,710.50 × 52,394.59
  4. Step 4: Simplify right side
    71,202.62x = 5,591,052,563.93
  5. Step 5: Solve for x
    x = 5,591,052,563.93/71,202.62
  6. Step 6: Final answer
    x = 78,523.13

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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.