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Finding the Fourth Proportional to 41,771.31, 57,643.16 and 22,908.03

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Solution

The fourth proportional to 41,771.31, 57,643.16 and 22,908.03 is: 31,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,771.31 : 57,643.16 = 22,908.03 : x
  2. Step 2: Convert to fraction form
    41,771.31/57,643.16 = 22,908.03/x
  3. Step 3: Cross multiply
    41,771.31x = 57,643.16 × 22,908.03
  4. Step 4: Simplify right side
    41,771.31x = 1,320,491,124.03
  5. Step 5: Solve for x
    x = 1,320,491,124.03/41,771.31
  6. Step 6: Final answer
    x = 31,612.39

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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.