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Finding the Fourth Proportional to 33,850, 50,775 and 9,226

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Solution

The fourth proportional to 33,850, 50,775 and 9,226 is: 13,839

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,850 : 50,775 = 9,226 : x
  2. Step 2: Convert to fraction form
    33,850/50,775 = 9,226/x
  3. Step 3: Cross multiply
    33,850x = 50,775 × 9,226
  4. Step 4: Simplify right side
    33,850x = 468,450,150
  5. Step 5: Solve for x
    x = 468,450,150/33,850
  6. Step 6: Final answer
    x = 13,839

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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.