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Finding the Fourth Proportional to 33,291, 49,936.50 and 8,667

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Solution

The fourth proportional to 33,291, 49,936.50 and 8,667 is: 13,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,291 : 49,936.50 = 8,667 : x
  2. Step 2: Convert to fraction form
    33,291/49,936.50 = 8,667/x
  3. Step 3: Cross multiply
    33,291x = 49,936.50 × 8,667
  4. Step 4: Simplify right side
    33,291x = 432,799,645.50
  5. Step 5: Solve for x
    x = 432,799,645.50/33,291
  6. Step 6: Final answer
    x = 13,000.50

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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.