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Finding the Fourth Proportional to 110,524.97, 165,819.80 and 35,643.62

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Solution

The fourth proportional to 110,524.97, 165,819.80 and 35,643.62 is: 53,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,524.97 : 165,819.80 = 35,643.62 : x
  2. Step 2: Convert to fraction form
    110,524.97/165,819.80 = 35,643.62/x
  3. Step 3: Cross multiply
    110,524.97x = 165,819.80 × 35,643.62
  4. Step 4: Simplify right side
    110,524.97x = 5,910,417,939.68
  5. Step 5: Solve for x
    x = 5,910,417,939.68/110,524.97
  6. Step 6: Final answer
    x = 53,475.86

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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.