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Finding the Fourth Proportional to 110,605.75, 165,909.26 and 27,499.75

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Solution

The fourth proportional to 110,605.75, 165,909.26 and 27,499.75 is: 41,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,605.75 : 165,909.26 = 27,499.75 : x
  2. Step 2: Convert to fraction form
    110,605.75/165,909.26 = 27,499.75/x
  3. Step 3: Cross multiply
    110,605.75x = 165,909.26 × 27,499.75
  4. Step 4: Simplify right side
    110,605.75x = 4,562,463,172.69
  5. Step 5: Solve for x
    x = 4,562,463,172.69/110,605.75
  6. Step 6: Final answer
    x = 41,249.78

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1.5x scale

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.