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Finding the Fourth Proportional to 41,464, 62,195.82 and 10,299.28

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Solution

The fourth proportional to 41,464, 62,195.82 and 10,299.28 is: 15,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,464 : 62,195.82 = 10,299.28 : x
  2. Step 2: Convert to fraction form
    41,464/62,195.82 = 10,299.28/x
  3. Step 3: Cross multiply
    41,464x = 62,195.82 × 10,299.28
  4. Step 4: Simplify right side
    41,464x = 640,572,165.01
  5. Step 5: Solve for x
    x = 640,572,165.01/41,464
  6. Step 6: Final answer
    x = 15,448.88

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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.