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Finding the Fourth Proportional to 33,540.75, 50,311.13 and 10,167.19

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Solution

The fourth proportional to 33,540.75, 50,311.13 and 10,167.19 is: 15,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,540.75 : 50,311.13 = 10,167.19 : x
  2. Step 2: Convert to fraction form
    33,540.75/50,311.13 = 10,167.19/x
  3. Step 3: Cross multiply
    33,540.75x = 50,311.13 × 10,167.19
  4. Step 4: Simplify right side
    33,540.75x = 511,522,641.21
  5. Step 5: Solve for x
    x = 511,522,641.21/33,540.75
  6. Step 6: Final answer
    x = 15,250.78

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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.