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Finding the Fourth Proportional to 54,751.44, 82,127.10 and 13,198.44

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Solution

The fourth proportional to 54,751.44, 82,127.10 and 13,198.44 is: 19,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,751.44 : 82,127.10 = 13,198.44 : x
  2. Step 2: Convert to fraction form
    54,751.44/82,127.10 = 13,198.44/x
  3. Step 3: Cross multiply
    54,751.44x = 82,127.10 × 13,198.44
  4. Step 4: Simplify right side
    54,751.44x = 1,083,949,601.72
  5. Step 5: Solve for x
    x = 1,083,949,601.72/54,751.44
  6. Step 6: Final answer
    x = 19,797.65

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1.5x scale

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.