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Finding the Fourth Proportional to 110,567.20, 165,850.68 and 27,461.20

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Solution

The fourth proportional to 110,567.20, 165,850.68 and 27,461.20 is: 41,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,567.20 : 165,850.68 = 27,461.20 : x
  2. Step 2: Convert to fraction form
    110,567.20/165,850.68 = 27,461.20/x
  3. Step 3: Cross multiply
    110,567.20x = 165,850.68 × 27,461.20
  4. Step 4: Simplify right side
    110,567.20x = 4,554,458,693.62
  5. Step 5: Solve for x
    x = 4,554,458,693.62/110,567.20
  6. Step 6: Final answer
    x = 41,191.77

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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.