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Finding the Fourth Proportional to 29,131.38, 40,202.19 and 17,204.94

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Solution

The fourth proportional to 29,131.38, 40,202.19 and 17,204.94 is: 23,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,131.38 : 40,202.19 = 17,204.94 : x
  2. Step 2: Convert to fraction form
    29,131.38/40,202.19 = 17,204.94/x
  3. Step 3: Cross multiply
    29,131.38x = 40,202.19 × 17,204.94
  4. Step 4: Simplify right side
    29,131.38x = 691,676,266.82
  5. Step 5: Solve for x
    x = 691,676,266.82/29,131.38
  6. Step 6: Final answer
    x = 23,743.34

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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.