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Finding the Fourth Proportional to 38,169.49, 57,195.85 and 20,402.68

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Solution

The fourth proportional to 38,169.49, 57,195.85 and 20,402.68 is: 30,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,169.49 : 57,195.85 = 20,402.68 : x
  2. Step 2: Convert to fraction form
    38,169.49/57,195.85 = 20,402.68/x
  3. Step 3: Cross multiply
    38,169.49x = 57,195.85 × 20,402.68
  4. Step 4: Simplify right side
    38,169.49x = 1,166,948,576.38
  5. Step 5: Solve for x
    x = 1,166,948,576.38/38,169.49
  6. Step 6: Final answer
    x = 30,572.81

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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.