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Finding the Fourth Proportional to 33,191.26, 49,786.26 and 8,231.38

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Solution

The fourth proportional to 33,191.26, 49,786.26 and 8,231.38 is: 12,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,191.26 : 49,786.26 = 8,231.38 : x
  2. Step 2: Convert to fraction form
    33,191.26/49,786.26 = 8,231.38/x
  3. Step 3: Cross multiply
    33,191.26x = 49,786.26 × 8,231.38
  4. Step 4: Simplify right side
    33,191.26x = 409,809,624.84
  5. Step 5: Solve for x
    x = 409,809,624.84/33,191.26
  6. Step 6: Final answer
    x = 12,346.91

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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.