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Finding the Fourth Proportional to 29,941.38, 41,321.82 and 17,196.18

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Solution

The fourth proportional to 29,941.38, 41,321.82 and 17,196.18 is: 23,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,941.38 : 41,321.82 = 17,196.18 : x
  2. Step 2: Convert to fraction form
    29,941.38/41,321.82 = 17,196.18/x
  3. Step 3: Cross multiply
    29,941.38x = 41,321.82 × 17,196.18
  4. Step 4: Simplify right side
    29,941.38x = 710,577,454.65
  5. Step 5: Solve for x
    x = 710,577,454.65/29,941.38
  6. Step 6: Final answer
    x = 23,732.29

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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.