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Finding the Fourth Proportional to 39,786, 54,906.06 and 21,882.36

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Solution

The fourth proportional to 39,786, 54,906.06 and 21,882.36 is: 30,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,786 : 54,906.06 = 21,882.36 : x
  2. Step 2: Convert to fraction form
    39,786/54,906.06 = 21,882.36/x
  3. Step 3: Cross multiply
    39,786x = 54,906.06 × 21,882.36
  4. Step 4: Simplify right side
    39,786x = 1,201,474,171.10
  5. Step 5: Solve for x
    x = 1,201,474,171.10/39,786
  6. Step 6: Final answer
    x = 30,198.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.