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Finding the Fourth Proportional to 71,974.80, 107,949.96 and 32,522.76

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Solution

The fourth proportional to 71,974.80, 107,949.96 and 32,522.76 is: 48,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,974.80 : 107,949.96 = 32,522.76 : x
  2. Step 2: Convert to fraction form
    71,974.80/107,949.96 = 32,522.76/x
  3. Step 3: Cross multiply
    71,974.80x = 107,949.96 × 32,522.76
  4. Step 4: Simplify right side
    71,974.80x = 3,510,830,641.09
  5. Step 5: Solve for x
    x = 3,510,830,641.09/71,974.80
  6. Step 6: Final answer
    x = 48,778.61

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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.