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Finding the Fourth Proportional to 27,748, 41,622 and 8,292

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Solution

The fourth proportional to 27,748, 41,622 and 8,292 is: 12,438

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748 : 41,622 = 8,292 : x
  2. Step 2: Convert to fraction form
    27,748/41,622 = 8,292/x
  3. Step 3: Cross multiply
    27,748x = 41,622 × 8,292
  4. Step 4: Simplify right side
    27,748x = 345,129,624
  5. Step 5: Solve for x
    x = 345,129,624/27,748
  6. Step 6: Final answer
    x = 12,438

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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.