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Finding the Fourth Proportional to 71,204.90, 106,713.92 and 52,396.87

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Solution

The fourth proportional to 71,204.90, 106,713.92 and 52,396.87 is: 78,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204.90 : 106,713.92 = 52,396.87 : x
  2. Step 2: Convert to fraction form
    71,204.90/106,713.92 = 52,396.87/x
  3. Step 3: Cross multiply
    71,204.90x = 106,713.92 × 52,396.87
  4. Step 4: Simplify right side
    71,204.90x = 5,591,475,393.43
  5. Step 5: Solve for x
    x = 5,591,475,393.43/71,204.90
  6. Step 6: Final answer
    x = 78,526.55

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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.