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Finding the Fourth Proportional to 54,906.50, 82,310.88 and 19,838.36

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Solution

The fourth proportional to 54,906.50, 82,310.88 and 19,838.36 is: 29,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906.50 : 82,310.88 = 19,838.36 : x
  2. Step 2: Convert to fraction form
    54,906.50/82,310.88 = 19,838.36/x
  3. Step 3: Cross multiply
    54,906.50x = 82,310.88 × 19,838.36
  4. Step 4: Simplify right side
    54,906.50x = 1,632,912,869.36
  5. Step 5: Solve for x
    x = 1,632,912,869.36/54,906.50
  6. Step 6: Final answer
    x = 29,739.88

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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.