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Finding the Fourth Proportional to 83,780.39, 125,760.11 and 33,893.10

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Solution

The fourth proportional to 83,780.39, 125,760.11 and 33,893.10 is: 50,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780.39 : 125,760.11 = 33,893.10 : x
  2. Step 2: Convert to fraction form
    83,780.39/125,760.11 = 33,893.10/x
  3. Step 3: Cross multiply
    83,780.39x = 125,760.11 × 33,893.10
  4. Step 4: Simplify right side
    83,780.39x = 4,262,399,984.24
  5. Step 5: Solve for x
    x = 4,262,399,984.24/83,780.39
  6. Step 6: Final answer
    x = 50,875.87

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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.