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Finding the Fourth Proportional to 33,154, 49,731 and 11,266

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Solution

The fourth proportional to 33,154, 49,731 and 11,266 is: 16,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154 : 49,731 = 11,266 : x
  2. Step 2: Convert to fraction form
    33,154/49,731 = 11,266/x
  3. Step 3: Cross multiply
    33,154x = 49,731 × 11,266
  4. Step 4: Simplify right side
    33,154x = 560,269,446
  5. Step 5: Solve for x
    x = 560,269,446/33,154
  6. Step 6: Final answer
    x = 16,899

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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.