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Finding the Fourth Proportional to 83,769.70, 125,652.81 and 27,613.18

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Solution

The fourth proportional to 83,769.70, 125,652.81 and 27,613.18 is: 41,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,769.70 : 125,652.81 = 27,613.18 : x
  2. Step 2: Convert to fraction form
    83,769.70/125,652.81 = 27,613.18/x
  3. Step 3: Cross multiply
    83,769.70x = 125,652.81 × 27,613.18
  4. Step 4: Simplify right side
    83,769.70x = 3,469,673,660.04
  5. Step 5: Solve for x
    x = 3,469,673,660.04/83,769.70
  6. Step 6: Final answer
    x = 41,419.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.