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Finding the Fourth Proportional to 49,456.80, 74,170.80 and 17,863.20

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Solution

The fourth proportional to 49,456.80, 74,170.80 and 17,863.20 is: 26,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456.80 : 74,170.80 = 17,863.20 : x
  2. Step 2: Convert to fraction form
    49,456.80/74,170.80 = 17,863.20/x
  3. Step 3: Cross multiply
    49,456.80x = 74,170.80 × 17,863.20
  4. Step 4: Simplify right side
    49,456.80x = 1,324,927,834.56
  5. Step 5: Solve for x
    x = 1,324,927,834.56/49,456.80
  6. Step 6: Final answer
    x = 26,789.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.