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Finding the Fourth Proportional to 100,542.92, 150,789.47 and 33,981.57

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Solution

The fourth proportional to 100,542.92, 150,789.47 and 33,981.57 is: 50,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542.92 : 150,789.47 = 33,981.57 : x
  2. Step 2: Convert to fraction form
    100,542.92/150,789.47 = 33,981.57/x
  3. Step 3: Cross multiply
    100,542.92x = 150,789.47 × 33,981.57
  4. Step 4: Simplify right side
    100,542.92x = 5,124,062,760.16
  5. Step 5: Solve for x
    x = 5,124,062,760.16/100,542.92
  6. Step 6: Final answer
    x = 50,963.94

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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.