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Finding the Fourth Proportional to 49,538, 68,362.44 and 27,183.44

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Solution

The fourth proportional to 49,538, 68,362.44 and 27,183.44 is: 37,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,538 : 68,362.44 = 27,183.44 : x
  2. Step 2: Convert to fraction form
    49,538/68,362.44 = 27,183.44/x
  3. Step 3: Cross multiply
    49,538x = 68,362.44 × 27,183.44
  4. Step 4: Simplify right side
    49,538x = 1,858,326,285.99
  5. Step 5: Solve for x
    x = 1,858,326,285.99/49,538
  6. Step 6: Final answer
    x = 37,513.15

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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.