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Finding the Fourth Proportional to 41,287.38, 56,977.92 and 23,382

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Solution

The fourth proportional to 41,287.38, 56,977.92 and 23,382 is: 32,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,287.38 : 56,977.92 = 23,382 : x
  2. Step 2: Convert to fraction form
    41,287.38/56,977.92 = 23,382/x
  3. Step 3: Cross multiply
    41,287.38x = 56,977.92 × 23,382
  4. Step 4: Simplify right side
    41,287.38x = 1,332,257,725.44
  5. Step 5: Solve for x
    x = 1,332,257,725.44/41,287.38
  6. Step 6: Final answer
    x = 32,267.92

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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.