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Finding the Fourth Proportional to 54,480.30, 81,745.11 and 27,812.54

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Solution

The fourth proportional to 54,480.30, 81,745.11 and 27,812.54 is: 41,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,480.30 : 81,745.11 = 27,812.54 : x
  2. Step 2: Convert to fraction form
    54,480.30/81,745.11 = 27,812.54/x
  3. Step 3: Cross multiply
    54,480.30x = 81,745.11 × 27,812.54
  4. Step 4: Simplify right side
    54,480.30x = 2,273,539,346.04
  5. Step 5: Solve for x
    x = 2,273,539,346.04/54,480.30
  6. Step 6: Final answer
    x = 41,731.41

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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.