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Finding the Fourth Proportional to 138,948.52, 208,422.78 and 33,767.56

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Solution

The fourth proportional to 138,948.52, 208,422.78 and 33,767.56 is: 50,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,948.52 : 208,422.78 = 33,767.56 : x
  2. Step 2: Convert to fraction form
    138,948.52/208,422.78 = 33,767.56/x
  3. Step 3: Cross multiply
    138,948.52x = 208,422.78 × 33,767.56
  4. Step 4: Simplify right side
    138,948.52x = 7,037,928,729.02
  5. Step 5: Solve for x
    x = 7,037,928,729.02/138,948.52
  6. Step 6: Final answer
    x = 50,651.34

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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.