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Finding the Fourth Proportional to 71,582.29, 107,292.42 and 36,447.73

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Solution

The fourth proportional to 71,582.29, 107,292.42 and 36,447.73 is: 54,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,582.29 : 107,292.42 = 36,447.73 : x
  2. Step 2: Convert to fraction form
    71,582.29/107,292.42 = 36,447.73/x
  3. Step 3: Cross multiply
    71,582.29x = 107,292.42 × 36,447.73
  4. Step 4: Simplify right side
    71,582.29x = 3,910,565,155.21
  5. Step 5: Solve for x
    x = 3,910,565,155.21/71,582.29
  6. Step 6: Final answer
    x = 54,630.34

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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.