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Finding the Fourth Proportional to 41,825.88, 57,717.90 and 22,963.32

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Solution

The fourth proportional to 41,825.88, 57,717.90 and 22,963.32 is: 31,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,825.88 : 57,717.90 = 22,963.32 : x
  2. Step 2: Convert to fraction form
    41,825.88/57,717.90 = 22,963.32/x
  3. Step 3: Cross multiply
    41,825.88x = 57,717.90 × 22,963.32
  4. Step 4: Simplify right side
    41,825.88x = 1,325,394,607.43
  5. Step 5: Solve for x
    x = 1,325,394,607.43/41,825.88
  6. Step 6: Final answer
    x = 31,688.39

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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.