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Finding the Fourth Proportional to 80,245.18, 120,387.76 and 24,086.33

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Solution

The fourth proportional to 80,245.18, 120,387.76 and 24,086.33 is: 36,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,245.18 : 120,387.76 = 24,086.33 : x
  2. Step 2: Convert to fraction form
    80,245.18/120,387.76 = 24,086.33/x
  3. Step 3: Cross multiply
    80,245.18x = 120,387.76 × 24,086.33
  4. Step 4: Simplify right side
    80,245.18x = 2,899,699,315.32
  5. Step 5: Solve for x
    x = 2,899,699,315.32/80,245.18
  6. Step 6: Final answer
    x = 36,135.50

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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.