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Finding the Fourth Proportional to 90,541.96, 135,616.38 and 55,375

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Solution

The fourth proportional to 90,541.96, 135,616.38 and 55,375 is: 82,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,541.96 : 135,616.38 = 55,375 : x
  2. Step 2: Convert to fraction form
    90,541.96/135,616.38 = 55,375/x
  3. Step 3: Cross multiply
    90,541.96x = 135,616.38 × 55,375
  4. Step 4: Simplify right side
    90,541.96x = 7,509,757,042.50
  5. Step 5: Solve for x
    x = 7,509,757,042.50/90,541.96
  6. Step 6: Final answer
    x = 82,942.28

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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.