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Finding the Fourth Proportional to 54,798.70, 82,198.05 and 13,245.70

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Solution

The fourth proportional to 54,798.70, 82,198.05 and 13,245.70 is: 19,868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,798.70 : 82,198.05 = 13,245.70 : x
  2. Step 2: Convert to fraction form
    54,798.70/82,198.05 = 13,245.70/x
  3. Step 3: Cross multiply
    54,798.70x = 82,198.05 × 13,245.70
  4. Step 4: Simplify right side
    54,798.70x = 1,088,770,710.89
  5. Step 5: Solve for x
    x = 1,088,770,710.89/54,798.70
  6. Step 6: Final answer
    x = 19,868.55

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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.