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Finding the Fourth Proportional to 54,751.75, 82,127.67 and 13,198.75

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Solution

The fourth proportional to 54,751.75, 82,127.67 and 13,198.75 is: 19,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,751.75 : 82,127.67 = 13,198.75 : x
  2. Step 2: Convert to fraction form
    54,751.75/82,127.67 = 13,198.75/x
  3. Step 3: Cross multiply
    54,751.75x = 82,127.67 × 13,198.75
  4. Step 4: Simplify right side
    54,751.75x = 1,083,982,584.41
  5. Step 5: Solve for x
    x = 1,083,982,584.41/54,751.75
  6. Step 6: Final answer
    x = 19,798.14

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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.