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Finding the Fourth Proportional to 110,604, 165,906.62 and 27,498

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Solution

The fourth proportional to 110,604, 165,906.62 and 27,498 is: 41,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,604 : 165,906.62 = 27,498 : x
  2. Step 2: Convert to fraction form
    110,604/165,906.62 = 27,498/x
  3. Step 3: Cross multiply
    110,604x = 165,906.62 × 27,498
  4. Step 4: Simplify right side
    110,604x = 4,562,100,099.27
  5. Step 5: Solve for x
    x = 4,562,100,099.27/110,604
  6. Step 6: Final answer
    x = 41,247.15

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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.