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Finding the Fourth Proportional to 71,705.70, 107,522.10 and 42,132.60

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Solution

The fourth proportional to 71,705.70, 107,522.10 and 42,132.60 is: 63,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,705.70 : 107,522.10 = 42,132.60 : x
  2. Step 2: Convert to fraction form
    71,705.70/107,522.10 = 42,132.60/x
  3. Step 3: Cross multiply
    71,705.70x = 107,522.10 × 42,132.60
  4. Step 4: Simplify right side
    71,705.70x = 4,530,185,630.46
  5. Step 5: Solve for x
    x = 4,530,185,630.46/71,705.70
  6. Step 6: Final answer
    x = 63,177.48

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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.