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Finding the Fourth Proportional to 41,954.80, 57,895.92 and 23,092

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Solution

The fourth proportional to 41,954.80, 57,895.92 and 23,092 is: 31,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,954.80 : 57,895.92 = 23,092 : x
  2. Step 2: Convert to fraction form
    41,954.80/57,895.92 = 23,092/x
  3. Step 3: Cross multiply
    41,954.80x = 57,895.92 × 23,092
  4. Step 4: Simplify right side
    41,954.80x = 1,336,932,584.64
  5. Step 5: Solve for x
    x = 1,336,932,584.64/41,954.80
  6. Step 6: Final answer
    x = 31,866.02

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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.