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Finding the Fourth Proportional to 31,223.88, 43,086.60 and 17,076.24

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Solution

The fourth proportional to 31,223.88, 43,086.60 and 17,076.24 is: 23,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.88 : 43,086.60 = 17,076.24 : x
  2. Step 2: Convert to fraction form
    31,223.88/43,086.60 = 17,076.24/x
  3. Step 3: Cross multiply
    31,223.88x = 43,086.60 × 17,076.24
  4. Step 4: Simplify right side
    31,223.88x = 735,757,122.38
  5. Step 5: Solve for x
    x = 735,757,122.38/31,223.88
  6. Step 6: Final answer
    x = 23,563.92

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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.