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Finding the Fourth Proportional to 110,523.93, 165,687.40 and 51,327.31

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Solution

The fourth proportional to 110,523.93, 165,687.40 and 51,327.31 is: 76,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,523.93 : 165,687.40 = 51,327.31 : x
  2. Step 2: Convert to fraction form
    110,523.93/165,687.40 = 51,327.31/x
  3. Step 3: Cross multiply
    110,523.93x = 165,687.40 × 51,327.31
  4. Step 4: Simplify right side
    110,523.93x = 8,504,288,542.89
  5. Step 5: Solve for x
    x = 8,504,288,542.89/110,523.93
  6. Step 6: Final answer
    x = 76,945.22

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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.