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Finding the Fourth Proportional to 83,910.78, 125,866.50 and 33,991.82

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Solution

The fourth proportional to 83,910.78, 125,866.50 and 33,991.82 is: 50,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,910.78 : 125,866.50 = 33,991.82 : x
  2. Step 2: Convert to fraction form
    83,910.78/125,866.50 = 33,991.82/x
  3. Step 3: Cross multiply
    83,910.78x = 125,866.50 × 33,991.82
  4. Step 4: Simplify right side
    83,910.78x = 4,278,431,412.03
  5. Step 5: Solve for x
    x = 4,278,431,412.03/83,910.78
  6. Step 6: Final answer
    x = 50,987.86

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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.