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Finding the Fourth Proportional to 80,420.30, 120,591.38 and 24,250

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Solution

The fourth proportional to 80,420.30, 120,591.38 and 24,250 is: 36,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,420.30 : 120,591.38 = 24,250 : x
  2. Step 2: Convert to fraction form
    80,420.30/120,591.38 = 24,250/x
  3. Step 3: Cross multiply
    80,420.30x = 120,591.38 × 24,250
  4. Step 4: Simplify right side
    80,420.30x = 2,924,340,965
  5. Step 5: Solve for x
    x = 2,924,340,965/80,420.30
  6. Step 6: Final answer
    x = 36,363.22

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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.