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Finding the Fourth Proportional to 83,147.38, 124,722.14 and 27,743.38

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Solution

The fourth proportional to 83,147.38, 124,722.14 and 27,743.38 is: 41,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.38 : 124,722.14 = 27,743.38 : x
  2. Step 2: Convert to fraction form
    83,147.38/124,722.14 = 27,743.38/x
  3. Step 3: Cross multiply
    83,147.38x = 124,722.14 × 27,743.38
  4. Step 4: Simplify right side
    83,147.38x = 3,460,213,170.18
  5. Step 5: Solve for x
    x = 3,460,213,170.18/83,147.38
  6. Step 6: Final answer
    x = 41,615.42

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1.5x scale

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.