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Finding the Fourth Proportional to 33,540.78, 50,318.97 and 9,847.38

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Solution

The fourth proportional to 33,540.78, 50,318.97 and 9,847.38 is: 14,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,540.78 : 50,318.97 = 9,847.38 : x
  2. Step 2: Convert to fraction form
    33,540.78/50,318.97 = 9,847.38/x
  3. Step 3: Cross multiply
    33,540.78x = 50,318.97 × 9,847.38
  4. Step 4: Simplify right side
    33,540.78x = 495,510,018.80
  5. Step 5: Solve for x
    x = 495,510,018.80/33,540.78
  6. Step 6: Final answer
    x = 14,773.36

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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.