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Finding the Fourth Proportional to 33,118, 49,677 and 8,494

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Solution

The fourth proportional to 33,118, 49,677 and 8,494 is: 12,741

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,118 : 49,677 = 8,494 : x
  2. Step 2: Convert to fraction form
    33,118/49,677 = 8,494/x
  3. Step 3: Cross multiply
    33,118x = 49,677 × 8,494
  4. Step 4: Simplify right side
    33,118x = 421,956,438
  5. Step 5: Solve for x
    x = 421,956,438/33,118
  6. Step 6: Final answer
    x = 12,741

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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.