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Finding the Fourth Proportional to 71,105.73, 106,716.92 and 36,055.41

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Solution

The fourth proportional to 71,105.73, 106,716.92 and 36,055.41 is: 54,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,105.73 : 106,716.92 = 36,055.41 : x
  2. Step 2: Convert to fraction form
    71,105.73/106,716.92 = 36,055.41/x
  3. Step 3: Cross multiply
    71,105.73x = 106,716.92 × 36,055.41
  4. Step 4: Simplify right side
    71,105.73x = 3,847,722,304.54
  5. Step 5: Solve for x
    x = 3,847,722,304.54/71,105.73
  6. Step 6: Final answer
    x = 54,112.69

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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.