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Finding the Fourth Proportional to 49,382.56, 68,149.56 and 27,026.56

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Solution

The fourth proportional to 49,382.56, 68,149.56 and 27,026.56 is: 37,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,382.56 : 68,149.56 = 27,026.56 : x
  2. Step 2: Convert to fraction form
    49,382.56/68,149.56 = 27,026.56/x
  3. Step 3: Cross multiply
    49,382.56x = 68,149.56 × 27,026.56
  4. Step 4: Simplify right side
    49,382.56x = 1,841,848,172.31
  5. Step 5: Solve for x
    x = 1,841,848,172.31/49,382.56
  6. Step 6: Final answer
    x = 37,297.54

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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.