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Finding the Fourth Proportional to 80,514.81, 120,776.44 and 24,353.49

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Solution

The fourth proportional to 80,514.81, 120,776.44 and 24,353.49 is: 36,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,514.81 : 120,776.44 = 24,353.49 : x
  2. Step 2: Convert to fraction form
    80,514.81/120,776.44 = 24,353.49/x
  3. Step 3: Cross multiply
    80,514.81x = 120,776.44 × 24,353.49
  4. Step 4: Simplify right side
    80,514.81x = 2,941,327,310.91
  5. Step 5: Solve for x
    x = 2,941,327,310.91/80,514.81
  6. Step 6: Final answer
    x = 36,531.51

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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.