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Finding the Fourth Proportional to 110,574.20, 165,861.30 and 27,468.20

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Solution

The fourth proportional to 110,574.20, 165,861.30 and 27,468.20 is: 41,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,574.20 : 165,861.30 = 27,468.20 : x
  2. Step 2: Convert to fraction form
    110,574.20/165,861.30 = 27,468.20/x
  3. Step 3: Cross multiply
    110,574.20x = 165,861.30 × 27,468.20
  4. Step 4: Simplify right side
    110,574.20x = 4,555,911,360.66
  5. Step 5: Solve for x
    x = 4,555,911,360.66/110,574.20
  6. Step 6: Final answer
    x = 41,202.30

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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.