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Finding the Fourth Proportional to 110,605.25, 165,908.51 and 27,499.25

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Solution

The fourth proportional to 110,605.25, 165,908.51 and 27,499.25 is: 41,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,605.25 : 165,908.51 = 27,499.25 : x
  2. Step 2: Convert to fraction form
    110,605.25/165,908.51 = 27,499.25/x
  3. Step 3: Cross multiply
    110,605.25x = 165,908.51 × 27,499.25
  4. Step 4: Simplify right side
    110,605.25x = 4,562,359,456.12
  5. Step 5: Solve for x
    x = 4,562,359,456.12/110,605.25
  6. Step 6: Final answer
    x = 41,249.03

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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.