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Finding the Fourth Proportional to 110,606, 165,909.61 and 27,500

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Solution

The fourth proportional to 110,606, 165,909.61 and 27,500 is: 41,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,606 : 165,909.61 = 27,500 : x
  2. Step 2: Convert to fraction form
    110,606/165,909.61 = 27,500/x
  3. Step 3: Cross multiply
    110,606x = 165,909.61 × 27,500
  4. Step 4: Simplify right side
    110,606x = 4,562,514,275
  5. Step 5: Solve for x
    x = 4,562,514,275/110,606
  6. Step 6: Final answer
    x = 41,250.15

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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.