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Finding the Fourth Proportional to 138,829.28, 208,243.92 and 33,648.25

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Solution

The fourth proportional to 138,829.28, 208,243.92 and 33,648.25 is: 50,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,829.28 : 208,243.92 = 33,648.25 : x
  2. Step 2: Convert to fraction form
    138,829.28/208,243.92 = 33,648.25/x
  3. Step 3: Cross multiply
    138,829.28x = 208,243.92 × 33,648.25
  4. Step 4: Simplify right side
    138,829.28x = 7,007,042,960.53
  5. Step 5: Solve for x
    x = 7,007,042,960.53/138,829.28
  6. Step 6: Final answer
    x = 50,472.37

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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.