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Finding the Fourth Proportional to 80,287.74, 120,367.35 and 38,146.68

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Solution

The fourth proportional to 80,287.74, 120,367.35 and 38,146.68 is: 57,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,287.74 : 120,367.35 = 38,146.68 : x
  2. Step 2: Convert to fraction form
    80,287.74/120,367.35 = 38,146.68/x
  3. Step 3: Cross multiply
    80,287.74x = 120,367.35 × 38,146.68
  4. Step 4: Simplify right side
    80,287.74x = 4,591,614,782.90
  5. Step 5: Solve for x
    x = 4,591,614,782.90/80,287.74
  6. Step 6: Final answer
    x = 57,189.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.