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Finding the Fourth Proportional to 33,794, 50,691.18 and 9,170

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Solution

The fourth proportional to 33,794, 50,691.18 and 9,170 is: 13,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794 : 50,691.18 = 9,170 : x
  2. Step 2: Convert to fraction form
    33,794/50,691.18 = 9,170/x
  3. Step 3: Cross multiply
    33,794x = 50,691.18 × 9,170
  4. Step 4: Simplify right side
    33,794x = 464,838,120.60
  5. Step 5: Solve for x
    x = 464,838,120.60/33,794
  6. Step 6: Final answer
    x = 13,755.05

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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.