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Finding the Fourth Proportional to 110,605.68, 165,909.15 and 27,499.68

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Solution

The fourth proportional to 110,605.68, 165,909.15 and 27,499.68 is: 41,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,605.68 : 165,909.15 = 27,499.68 : x
  2. Step 2: Convert to fraction form
    110,605.68/165,909.15 = 27,499.68/x
  3. Step 3: Cross multiply
    110,605.68x = 165,909.15 × 27,499.68
  4. Step 4: Simplify right side
    110,605.68x = 4,562,448,534.07
  5. Step 5: Solve for x
    x = 4,562,448,534.07/110,605.68
  6. Step 6: Final answer
    x = 41,249.68

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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.