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Finding the Fourth Proportional to 27,963.49, 41,945.22 and 10,195.48

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Solution

The fourth proportional to 27,963.49, 41,945.22 and 10,195.48 is: 15,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963.49 : 41,945.22 = 10,195.48 : x
  2. Step 2: Convert to fraction form
    27,963.49/41,945.22 = 10,195.48/x
  3. Step 3: Cross multiply
    27,963.49x = 41,945.22 × 10,195.48
  4. Step 4: Simplify right side
    27,963.49x = 427,651,390.90
  5. Step 5: Solve for x
    x = 427,651,390.90/27,963.49
  6. Step 6: Final answer
    x = 15,293.21

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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.