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Finding the Fourth Proportional to 110,858.92, 166,287.90 and 27,752.68

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Solution

The fourth proportional to 110,858.92, 166,287.90 and 27,752.68 is: 41,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,858.92 : 166,287.90 = 27,752.68 : x
  2. Step 2: Convert to fraction form
    110,858.92/166,287.90 = 27,752.68/x
  3. Step 3: Cross multiply
    110,858.92x = 166,287.90 × 27,752.68
  4. Step 4: Simplify right side
    110,858.92x = 4,614,934,876.57
  5. Step 5: Solve for x
    x = 4,614,934,876.57/110,858.92
  6. Step 6: Final answer
    x = 41,628.90

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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.