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Finding the Fourth Proportional to 83,991.30, 125,993.49 and 27,829.14

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Solution

The fourth proportional to 83,991.30, 125,993.49 and 27,829.14 is: 41,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,991.30 : 125,993.49 = 27,829.14 : x
  2. Step 2: Convert to fraction form
    83,991.30/125,993.49 = 27,829.14/x
  3. Step 3: Cross multiply
    83,991.30x = 125,993.49 × 27,829.14
  4. Step 4: Simplify right side
    83,991.30x = 3,506,290,472.30
  5. Step 5: Solve for x
    x = 3,506,290,472.30/83,991.30
  6. Step 6: Final answer
    x = 41,745.88

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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.