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Finding the Fourth Proportional to 99,786.92, 149,704.30 and 33,227.65

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Solution

The fourth proportional to 99,786.92, 149,704.30 and 33,227.65 is: 49,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,786.92 : 149,704.30 = 33,227.65 : x
  2. Step 2: Convert to fraction form
    99,786.92/149,704.30 = 33,227.65/x
  3. Step 3: Cross multiply
    99,786.92x = 149,704.30 × 33,227.65
  4. Step 4: Simplify right side
    99,786.92x = 4,974,322,083.90
  5. Step 5: Solve for x
    x = 4,974,322,083.90/99,786.92
  6. Step 6: Final answer
    x = 49,849.44

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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.