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Finding the Fourth Proportional to 36,292, 54,438 and 11,668

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Solution

The fourth proportional to 36,292, 54,438 and 11,668 is: 17,502

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,292 : 54,438 = 11,668 : x
  2. Step 2: Convert to fraction form
    36,292/54,438 = 11,668/x
  3. Step 3: Cross multiply
    36,292x = 54,438 × 11,668
  4. Step 4: Simplify right side
    36,292x = 635,182,584
  5. Step 5: Solve for x
    x = 635,182,584/36,292
  6. Step 6: Final answer
    x = 17,502

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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.