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Finding the Fourth Proportional to 67,829.60, 101,744.40 and 50,114.90

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Solution

The fourth proportional to 67,829.60, 101,744.40 and 50,114.90 is: 75,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,829.60 : 101,744.40 = 50,114.90 : x
  2. Step 2: Convert to fraction form
    67,829.60/101,744.40 = 50,114.90/x
  3. Step 3: Cross multiply
    67,829.60x = 101,744.40 × 50,114.90
  4. Step 4: Simplify right side
    67,829.60x = 5,098,910,431.56
  5. Step 5: Solve for x
    x = 5,098,910,431.56/67,829.60
  6. Step 6: Final answer
    x = 75,172.35

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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.