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Finding the Fourth Proportional to 73,794, 110,691 and 24,546

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Solution

The fourth proportional to 73,794, 110,691 and 24,546 is: 36,819

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,794 : 110,691 = 24,546 : x
  2. Step 2: Convert to fraction form
    73,794/110,691 = 24,546/x
  3. Step 3: Cross multiply
    73,794x = 110,691 × 24,546
  4. Step 4: Simplify right side
    73,794x = 2,717,021,286
  5. Step 5: Solve for x
    x = 2,717,021,286/73,794
  6. Step 6: Final answer
    x = 36,819

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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.