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Finding the Fourth Proportional to 71,863.50, 107,841.39 and 48,197.78

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Solution

The fourth proportional to 71,863.50, 107,841.39 and 48,197.78 is: 72,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,863.50 : 107,841.39 = 48,197.78 : x
  2. Step 2: Convert to fraction form
    71,863.50/107,841.39 = 48,197.78/x
  3. Step 3: Cross multiply
    71,863.50x = 107,841.39 × 48,197.78
  4. Step 4: Simplify right side
    71,863.50x = 5,197,715,274.57
  5. Step 5: Solve for x
    x = 5,197,715,274.57/71,863.50
  6. Step 6: Final answer
    x = 72,327.61

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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.