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Finding the Fourth Proportional to 110,494.54, 165,769.62 and 43,912.54

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Solution

The fourth proportional to 110,494.54, 165,769.62 and 43,912.54 is: 65,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,494.54 : 165,769.62 = 43,912.54 : x
  2. Step 2: Convert to fraction form
    110,494.54/165,769.62 = 43,912.54/x
  3. Step 3: Cross multiply
    110,494.54x = 165,769.62 × 43,912.54
  4. Step 4: Simplify right side
    110,494.54x = 7,279,365,069.03
  5. Step 5: Solve for x
    x = 7,279,365,069.03/110,494.54
  6. Step 6: Final answer
    x = 65,879.86

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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.