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Finding the Fourth Proportional to 83,656.60, 125,582.10 and 50,414.20

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Solution

The fourth proportional to 83,656.60, 125,582.10 and 50,414.20 is: 75,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,656.60 : 125,582.10 = 50,414.20 : x
  2. Step 2: Convert to fraction form
    83,656.60/125,582.10 = 50,414.20/x
  3. Step 3: Cross multiply
    83,656.60x = 125,582.10 × 50,414.20
  4. Step 4: Simplify right side
    83,656.60x = 6,331,121,105.82
  5. Step 5: Solve for x
    x = 6,331,121,105.82/83,656.60
  6. Step 6: Final answer
    x = 75,679.88

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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.