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Finding the Fourth Proportional to 54,105.54, 74,664.20 and 30,232.41

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Solution

The fourth proportional to 54,105.54, 74,664.20 and 30,232.41 is: 41,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,105.54 : 74,664.20 = 30,232.41 : x
  2. Step 2: Convert to fraction form
    54,105.54/74,664.20 = 30,232.41/x
  3. Step 3: Cross multiply
    54,105.54x = 74,664.20 × 30,232.41
  4. Step 4: Simplify right side
    54,105.54x = 2,257,278,555.56
  5. Step 5: Solve for x
    x = 2,257,278,555.56/54,105.54
  6. Step 6: Final answer
    x = 41,719.92

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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.