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Finding the Fourth Proportional to 71,583.29, 107,293.92 and 36,448.73

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Solution

The fourth proportional to 71,583.29, 107,293.92 and 36,448.73 is: 54,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,583.29 : 107,293.92 = 36,448.73 : x
  2. Step 2: Convert to fraction form
    71,583.29/107,293.92 = 36,448.73/x
  3. Step 3: Cross multiply
    71,583.29x = 107,293.92 × 36,448.73
  4. Step 4: Simplify right side
    71,583.29x = 3,910,727,120.72
  5. Step 5: Solve for x
    x = 3,910,727,120.72/71,583.29
  6. Step 6: Final answer
    x = 54,631.84

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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.