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Finding the Fourth Proportional to 33,609.87, 50,387.27 and 13,902.57

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Solution

The fourth proportional to 33,609.87, 50,387.27 and 13,902.57 is: 20,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,609.87 : 50,387.27 = 13,902.57 : x
  2. Step 2: Convert to fraction form
    33,609.87/50,387.27 = 13,902.57/x
  3. Step 3: Cross multiply
    33,609.87x = 50,387.27 × 13,902.57
  4. Step 4: Simplify right side
    33,609.87x = 700,512,478.77
  5. Step 5: Solve for x
    x = 700,512,478.77/33,609.87
  6. Step 6: Final answer
    x = 20,842.46

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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.