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Finding the Fourth Proportional to 27,963.14, 41,949.03 and 10,195.30

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Solution

The fourth proportional to 27,963.14, 41,949.03 and 10,195.30 is: 15,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963.14 : 41,949.03 = 10,195.30 : x
  2. Step 2: Convert to fraction form
    27,963.14/41,949.03 = 10,195.30/x
  3. Step 3: Cross multiply
    27,963.14x = 41,949.03 × 10,195.30
  4. Step 4: Simplify right side
    27,963.14x = 427,682,945.56
  5. Step 5: Solve for x
    x = 427,682,945.56/27,963.14
  6. Step 6: Final answer
    x = 15,294.53

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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.