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Finding the Fourth Proportional to 138,829.57, 208,244.34 and 33,648.54

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Solution

The fourth proportional to 138,829.57, 208,244.34 and 33,648.54 is: 50,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,829.57 : 208,244.34 = 33,648.54 : x
  2. Step 2: Convert to fraction form
    138,829.57/208,244.34 = 33,648.54/x
  3. Step 3: Cross multiply
    138,829.57x = 208,244.34 × 33,648.54
  4. Step 4: Simplify right side
    138,829.57x = 7,007,118,004.26
  5. Step 5: Solve for x
    x = 7,007,118,004.26/138,829.57
  6. Step 6: Final answer
    x = 50,472.81

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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.