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Finding the Fourth Proportional to 54,138.78, 81,208.16 and 29,190.57

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Solution

The fourth proportional to 54,138.78, 81,208.16 and 29,190.57 is: 43,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138.78 : 81,208.16 = 29,190.57 : x
  2. Step 2: Convert to fraction form
    54,138.78/81,208.16 = 29,190.57/x
  3. Step 3: Cross multiply
    54,138.78x = 81,208.16 × 29,190.57
  4. Step 4: Simplify right side
    54,138.78x = 2,370,512,479.05
  5. Step 5: Solve for x
    x = 2,370,512,479.05/54,138.78
  6. Step 6: Final answer
    x = 43,785.85

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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.