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Finding the Fourth Proportional to 83,687.10, 125,504 and 27,514.24

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Solution

The fourth proportional to 83,687.10, 125,504 and 27,514.24 is: 41,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,687.10 : 125,504 = 27,514.24 : x
  2. Step 2: Convert to fraction form
    83,687.10/125,504 = 27,514.24/x
  3. Step 3: Cross multiply
    83,687.10x = 125,504 × 27,514.24
  4. Step 4: Simplify right side
    83,687.10x = 3,453,147,176.96
  5. Step 5: Solve for x
    x = 3,453,147,176.96/83,687.10
  6. Step 6: Final answer
    x = 41,262.60

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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.