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Finding the Fourth Proportional to 71,794, 107,695.36 and 22,546

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Solution

The fourth proportional to 71,794, 107,695.36 and 22,546 is: 33,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,794 : 107,695.36 = 22,546 : x
  2. Step 2: Convert to fraction form
    71,794/107,695.36 = 22,546/x
  3. Step 3: Cross multiply
    71,794x = 107,695.36 × 22,546
  4. Step 4: Simplify right side
    71,794x = 2,428,099,586.56
  5. Step 5: Solve for x
    x = 2,428,099,586.56/71,794
  6. Step 6: Final answer
    x = 33,820.37

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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.