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Finding the Fourth Proportional to 83,965.60, 126,045.60 and 50,723.20

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Solution

The fourth proportional to 83,965.60, 126,045.60 and 50,723.20 is: 76,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,965.60 : 126,045.60 = 50,723.20 : x
  2. Step 2: Convert to fraction form
    83,965.60/126,045.60 = 50,723.20/x
  3. Step 3: Cross multiply
    83,965.60x = 126,045.60 × 50,723.20
  4. Step 4: Simplify right side
    83,965.60x = 6,393,436,177.92
  5. Step 5: Solve for x
    x = 6,393,436,177.92/83,965.60
  6. Step 6: Final answer
    x = 76,143.52

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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.