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Finding the Fourth Proportional to 41,822, 62,733 and 17,198

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Solution

The fourth proportional to 41,822, 62,733 and 17,198 is: 25,797

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,822 : 62,733 = 17,198 : x
  2. Step 2: Convert to fraction form
    41,822/62,733 = 17,198/x
  3. Step 3: Cross multiply
    41,822x = 62,733 × 17,198
  4. Step 4: Simplify right side
    41,822x = 1,078,882,134
  5. Step 5: Solve for x
    x = 1,078,882,134/41,822
  6. Step 6: Final answer
    x = 25,797

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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.