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Finding the Fourth Proportional to 33,231.50, 49,819.31 and 13,524.20

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Solution

The fourth proportional to 33,231.50, 49,819.31 and 13,524.20 is: 20,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.50 : 49,819.31 = 13,524.20 : x
  2. Step 2: Convert to fraction form
    33,231.50/49,819.31 = 13,524.20/x
  3. Step 3: Cross multiply
    33,231.50x = 49,819.31 × 13,524.20
  4. Step 4: Simplify right side
    33,231.50x = 673,766,244.68
  5. Step 5: Solve for x
    x = 673,766,244.68/33,231.50
  6. Step 6: Final answer
    x = 20,274.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.