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Finding the Fourth Proportional to 80,175.76, 120,229.79 and 24,023.86

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Solution

The fourth proportional to 80,175.76, 120,229.79 and 24,023.86 is: 36,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,175.76 : 120,229.79 = 24,023.86 : x
  2. Step 2: Convert to fraction form
    80,175.76/120,229.79 = 24,023.86/x
  3. Step 3: Cross multiply
    80,175.76x = 120,229.79 × 24,023.86
  4. Step 4: Simplify right side
    80,175.76x = 2,888,383,222.10
  5. Step 5: Solve for x
    x = 2,888,383,222.10/80,175.76
  6. Step 6: Final answer
    x = 36,025.64

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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.