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Finding the Fourth Proportional to 54,255.76, 74,874.36 and 30,382.48

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Solution

The fourth proportional to 54,255.76, 74,874.36 and 30,382.48 is: 41,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,255.76 : 74,874.36 = 30,382.48 : x
  2. Step 2: Convert to fraction form
    54,255.76/74,874.36 = 30,382.48/x
  3. Step 3: Cross multiply
    54,255.76x = 74,874.36 × 30,382.48
  4. Step 4: Simplify right side
    54,255.76x = 2,274,868,745.21
  5. Step 5: Solve for x
    x = 2,274,868,745.21/54,255.76
  6. Step 6: Final answer
    x = 41,928.61

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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.