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Finding the Fourth Proportional to 110,510.20, 165,765.30 and 27,404.20

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Solution

The fourth proportional to 110,510.20, 165,765.30 and 27,404.20 is: 41,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,510.20 : 165,765.30 = 27,404.20 : x
  2. Step 2: Convert to fraction form
    110,510.20/165,765.30 = 27,404.20/x
  3. Step 3: Cross multiply
    110,510.20x = 165,765.30 × 27,404.20
  4. Step 4: Simplify right side
    110,510.20x = 4,542,665,434.26
  5. Step 5: Solve for x
    x = 4,542,665,434.26/110,510.20
  6. Step 6: Final answer
    x = 41,106.30

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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.