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Finding the Fourth Proportional to 110,570.80, 165,856.20 and 27,464.80

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Solution

The fourth proportional to 110,570.80, 165,856.20 and 27,464.80 is: 41,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,570.80 : 165,856.20 = 27,464.80 : x
  2. Step 2: Convert to fraction form
    110,570.80/165,856.20 = 27,464.80/x
  3. Step 3: Cross multiply
    110,570.80x = 165,856.20 × 27,464.80
  4. Step 4: Simplify right side
    110,570.80x = 4,555,207,361.76
  5. Step 5: Solve for x
    x = 4,555,207,361.76/110,570.80
  6. Step 6: Final answer
    x = 41,197.20

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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.