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Finding the Fourth Proportional to 110,581.31, 165,871.97 and 27,475.31

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Solution

The fourth proportional to 110,581.31, 165,871.97 and 27,475.31 is: 41,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,581.31 : 165,871.97 = 27,475.31 : x
  2. Step 2: Convert to fraction form
    110,581.31/165,871.97 = 27,475.31/x
  3. Step 3: Cross multiply
    110,581.31x = 165,871.97 × 27,475.31
  4. Step 4: Simplify right side
    110,581.31x = 4,557,384,176.40
  5. Step 5: Solve for x
    x = 4,557,384,176.40/110,581.31
  6. Step 6: Final answer
    x = 41,212.97

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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.