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Finding the Fourth Proportional to 96,940.38, 133,790.19 and 54,507.12

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Solution

The fourth proportional to 96,940.38, 133,790.19 and 54,507.12 is: 75,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,940.38 : 133,790.19 = 54,507.12 : x
  2. Step 2: Convert to fraction form
    96,940.38/133,790.19 = 54,507.12/x
  3. Step 3: Cross multiply
    96,940.38x = 133,790.19 × 54,507.12
  4. Step 4: Simplify right side
    96,940.38x = 7,292,517,941.15
  5. Step 5: Solve for x
    x = 7,292,517,941.15/96,940.38
  6. Step 6: Final answer
    x = 75,226.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.