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Finding the Fourth Proportional to 54,255.92, 74,877.88 and 30,382.16

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Solution

The fourth proportional to 54,255.92, 74,877.88 and 30,382.16 is: 41,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,255.92 : 74,877.88 = 30,382.16 : x
  2. Step 2: Convert to fraction form
    54,255.92/74,877.88 = 30,382.16/x
  3. Step 3: Cross multiply
    54,255.92x = 74,877.88 × 30,382.16
  4. Step 4: Simplify right side
    54,255.92x = 2,274,951,730.62
  5. Step 5: Solve for x
    x = 2,274,951,730.62/54,255.92
  6. Step 6: Final answer
    x = 41,930.02

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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.