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Finding the Fourth Proportional to 54,839.50, 82,259.70 and 13,286.50

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Solution

The fourth proportional to 54,839.50, 82,259.70 and 13,286.50 is: 19,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,839.50 : 82,259.70 = 13,286.50 : x
  2. Step 2: Convert to fraction form
    54,839.50/82,259.70 = 13,286.50/x
  3. Step 3: Cross multiply
    54,839.50x = 82,259.70 × 13,286.50
  4. Step 4: Simplify right side
    54,839.50x = 1,092,943,504.05
  5. Step 5: Solve for x
    x = 1,092,943,504.05/54,839.50
  6. Step 6: Final answer
    x = 19,929.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.