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Finding the Fourth Proportional to 33,500, 50,273.04 and 11,612

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Solution

The fourth proportional to 33,500, 50,273.04 and 11,612 is: 17,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,500 : 50,273.04 = 11,612 : x
  2. Step 2: Convert to fraction form
    33,500/50,273.04 = 11,612/x
  3. Step 3: Cross multiply
    33,500x = 50,273.04 × 11,612
  4. Step 4: Simplify right side
    33,500x = 583,770,540.48
  5. Step 5: Solve for x
    x = 583,770,540.48/33,500
  6. Step 6: Final answer
    x = 17,425.99

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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.