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Finding the Fourth Proportional to 54,997.80, 82,497.00 and 19,936.54

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Solution

The fourth proportional to 54,997.80, 82,497.00 and 19,936.54 is: 29,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,997.80 : 82,497.00 = 19,936.54 : x
  2. Step 2: Convert to fraction form
    54,997.80/82,497.00 = 19,936.54/x
  3. Step 3: Cross multiply
    54,997.80x = 82,497.00 × 19,936.54
  4. Step 4: Simplify right side
    54,997.80x = 1,644,704,640.70
  5. Step 5: Solve for x
    x = 1,644,704,640.70/54,997.80
  6. Step 6: Final answer
    x = 29,904.92

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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.