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Finding the Fourth Proportional to 34,759.92, 47,922.30 and 27,613.56

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Solution

The fourth proportional to 34,759.92, 47,922.30 and 27,613.56 is: 38,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,759.92 : 47,922.30 = 27,613.56 : x
  2. Step 2: Convert to fraction form
    34,759.92/47,922.30 = 27,613.56/x
  3. Step 3: Cross multiply
    34,759.92x = 47,922.30 × 27,613.56
  4. Step 4: Simplify right side
    34,759.92x = 1,323,305,100.04
  5. Step 5: Solve for x
    x = 1,323,305,100.04/34,759.92
  6. Step 6: Final answer
    x = 38,069.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.