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Finding the Fourth Proportional to 83,834.40, 125,715.15 and 27,652.80

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Solution

The fourth proportional to 83,834.40, 125,715.15 and 27,652.80 is: 41,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,834.40 : 125,715.15 = 27,652.80 : x
  2. Step 2: Convert to fraction form
    83,834.40/125,715.15 = 27,652.80/x
  3. Step 3: Cross multiply
    83,834.40x = 125,715.15 × 27,652.80
  4. Step 4: Simplify right side
    83,834.40x = 3,476,375,899.92
  5. Step 5: Solve for x
    x = 3,476,375,899.92/83,834.40
  6. Step 6: Final answer
    x = 41,467.18

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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.