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Finding the Fourth Proportional to 71,391.30, 106,984.55 and 52,524.10

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Solution

The fourth proportional to 71,391.30, 106,984.55 and 52,524.10 is: 78,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,391.30 : 106,984.55 = 52,524.10 : x
  2. Step 2: Convert to fraction form
    71,391.30/106,984.55 = 52,524.10/x
  3. Step 3: Cross multiply
    71,391.30x = 106,984.55 × 52,524.10
  4. Step 4: Simplify right side
    71,391.30x = 5,619,267,202.66
  5. Step 5: Solve for x
    x = 5,619,267,202.66/71,391.30
  6. Step 6: Final answer
    x = 78,710.81

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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.