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Finding the Fourth Proportional to 110,635.38, 165,952.94 and 27,529.38

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Solution

The fourth proportional to 110,635.38, 165,952.94 and 27,529.38 is: 41,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,635.38 : 165,952.94 = 27,529.38 : x
  2. Step 2: Convert to fraction form
    110,635.38/165,952.94 = 27,529.38/x
  3. Step 3: Cross multiply
    110,635.38x = 165,952.94 × 27,529.38
  4. Step 4: Simplify right side
    110,635.38x = 4,568,581,409.73
  5. Step 5: Solve for x
    x = 4,568,581,409.73/110,635.38
  6. Step 6: Final answer
    x = 41,294.04

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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.