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Finding the Fourth Proportional to 29,839.26, 41,179.20 and 16,411.52

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Solution

The fourth proportional to 29,839.26, 41,179.20 and 16,411.52 is: 22,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,839.26 : 41,179.20 = 16,411.52 : x
  2. Step 2: Convert to fraction form
    29,839.26/41,179.20 = 16,411.52/x
  3. Step 3: Cross multiply
    29,839.26x = 41,179.20 × 16,411.52
  4. Step 4: Simplify right side
    29,839.26x = 675,813,264.38
  5. Step 5: Solve for x
    x = 675,813,264.38/29,839.26
  6. Step 6: Final answer
    x = 22,648.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.