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Finding the Fourth Proportional to 138,405.43, 207,608.15 and 33,224.40

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Solution

The fourth proportional to 138,405.43, 207,608.15 and 33,224.40 is: 49,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.43 : 207,608.15 = 33,224.40 : x
  2. Step 2: Convert to fraction form
    138,405.43/207,608.15 = 33,224.40/x
  3. Step 3: Cross multiply
    138,405.43x = 207,608.15 × 33,224.40
  4. Step 4: Simplify right side
    138,405.43x = 6,897,656,052.74
  5. Step 5: Solve for x
    x = 6,897,656,052.74/138,405.43
  6. Step 6: Final answer
    x = 49,836.60

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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.