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Finding the Fourth Proportional to 80,449.54, 120,693.82 and 24,286.30

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Solution

The fourth proportional to 80,449.54, 120,693.82 and 24,286.30 is: 36,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,449.54 : 120,693.82 = 24,286.30 : x
  2. Step 2: Convert to fraction form
    80,449.54/120,693.82 = 24,286.30/x
  3. Step 3: Cross multiply
    80,449.54x = 120,693.82 × 24,286.30
  4. Step 4: Simplify right side
    80,449.54x = 2,931,206,072.06
  5. Step 5: Solve for x
    x = 2,931,206,072.06/80,449.54
  6. Step 6: Final answer
    x = 36,435.34

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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.