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Finding the Fourth Proportional to 83,559.54, 125,446.14 and 71,788.62

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Solution

The fourth proportional to 83,559.54, 125,446.14 and 71,788.62 is: 107,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,559.54 : 125,446.14 = 71,788.62 : x
  2. Step 2: Convert to fraction form
    83,559.54/125,446.14 = 71,788.62/x
  3. Step 3: Cross multiply
    83,559.54x = 125,446.14 × 71,788.62
  4. Step 4: Simplify right side
    83,559.54x = 9,005,605,274.93
  5. Step 5: Solve for x
    x = 9,005,605,274.93/83,559.54
  6. Step 6: Final answer
    x = 107,774.71

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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.