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Finding the Fourth Proportional to 36,065.92, 49,834.56 and 27,754.24

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Solution

The fourth proportional to 36,065.92, 49,834.56 and 27,754.24 is: 38,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,065.92 : 49,834.56 = 27,754.24 : x
  2. Step 2: Convert to fraction form
    36,065.92/49,834.56 = 27,754.24/x
  3. Step 3: Cross multiply
    36,065.92x = 49,834.56 × 27,754.24
  4. Step 4: Simplify right side
    36,065.92x = 1,383,120,338.53
  5. Step 5: Solve for x
    x = 1,383,120,338.53/36,065.92
  6. Step 6: Final answer
    x = 38,349.79

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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.