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Finding the Fourth Proportional to 80,351.52, 120,488.40 and 27,742.56

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Solution

The fourth proportional to 80,351.52, 120,488.40 and 27,742.56 is: 41,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,351.52 : 120,488.40 = 27,742.56 : x
  2. Step 2: Convert to fraction form
    80,351.52/120,488.40 = 27,742.56/x
  3. Step 3: Cross multiply
    80,351.52x = 120,488.40 × 27,742.56
  4. Step 4: Simplify right side
    80,351.52x = 3,342,656,666.30
  5. Step 5: Solve for x
    x = 3,342,656,666.30/80,351.52
  6. Step 6: Final answer
    x = 41,600.42

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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.