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Finding the Fourth Proportional to 71,698.75, 107,451.24 and 27,301.28

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Solution

The fourth proportional to 71,698.75, 107,451.24 and 27,301.28 is: 40,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,698.75 : 107,451.24 = 27,301.28 : x
  2. Step 2: Convert to fraction form
    71,698.75/107,451.24 = 27,301.28/x
  3. Step 3: Cross multiply
    71,698.75x = 107,451.24 × 27,301.28
  4. Step 4: Simplify right side
    71,698.75x = 2,933,555,852.33
  5. Step 5: Solve for x
    x = 2,933,555,852.33/71,698.75
  6. Step 6: Final answer
    x = 40,915.02

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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.