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Finding the Fourth Proportional to 41,812, 62,614 and 29,273.28

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Solution

The fourth proportional to 41,812, 62,614 and 29,273.28 is: 43,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,812 : 62,614 = 29,273.28 : x
  2. Step 2: Convert to fraction form
    41,812/62,614 = 29,273.28/x
  3. Step 3: Cross multiply
    41,812x = 62,614 × 29,273.28
  4. Step 4: Simplify right side
    41,812x = 1,832,917,153.92
  5. Step 5: Solve for x
    x = 1,832,917,153.92/41,812
  6. Step 6: Final answer
    x = 43,837.11

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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.