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Finding the Fourth Proportional to 41,479.92, 57,242.16 and 22,617

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Solution

The fourth proportional to 41,479.92, 57,242.16 and 22,617 is: 31,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,479.92 : 57,242.16 = 22,617 : x
  2. Step 2: Convert to fraction form
    41,479.92/57,242.16 = 22,617/x
  3. Step 3: Cross multiply
    41,479.92x = 57,242.16 × 22,617
  4. Step 4: Simplify right side
    41,479.92x = 1,294,645,932.72
  5. Step 5: Solve for x
    x = 1,294,645,932.72/41,479.92
  6. Step 6: Final answer
    x = 31,211.39

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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.