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Finding the Fourth Proportional to 123,469.89, 185,217.22 and 33,514.10

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Solution

The fourth proportional to 123,469.89, 185,217.22 and 33,514.10 is: 50,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,469.89 : 185,217.22 = 33,514.10 : x
  2. Step 2: Convert to fraction form
    123,469.89/185,217.22 = 33,514.10/x
  3. Step 3: Cross multiply
    123,469.89x = 185,217.22 × 33,514.10
  4. Step 4: Simplify right side
    123,469.89x = 6,207,389,237.89
  5. Step 5: Solve for x
    x = 6,207,389,237.89/123,469.89
  6. Step 6: Final answer
    x = 50,274.52

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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.