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Finding the Fourth Proportional to 30,540.38, 45,757.97 and 23,874.28

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Solution

The fourth proportional to 30,540.38, 45,757.97 and 23,874.28 is: 35,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.38 : 45,757.97 = 23,874.28 : x
  2. Step 2: Convert to fraction form
    30,540.38/45,757.97 = 23,874.28/x
  3. Step 3: Cross multiply
    30,540.38x = 45,757.97 × 23,874.28
  4. Step 4: Simplify right side
    30,540.38x = 1,092,438,239.85
  5. Step 5: Solve for x
    x = 1,092,438,239.85/30,540.38
  6. Step 6: Final answer
    x = 35,770.30

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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.