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Finding the Fourth Proportional to 38,438.70, 57,658.05 and 20,942.70

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Solution

The fourth proportional to 38,438.70, 57,658.05 and 20,942.70 is: 31,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,438.70 : 57,658.05 = 20,942.70 : x
  2. Step 2: Convert to fraction form
    38,438.70/57,658.05 = 20,942.70/x
  3. Step 3: Cross multiply
    38,438.70x = 57,658.05 × 20,942.70
  4. Step 4: Simplify right side
    38,438.70x = 1,207,515,243.74
  5. Step 5: Solve for x
    x = 1,207,515,243.74/38,438.70
  6. Step 6: Final answer
    x = 31,414.05

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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.