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Finding the Fourth Proportional to 49,888, 68,845.68 and 27,533.44

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Solution

The fourth proportional to 49,888, 68,845.68 and 27,533.44 is: 37,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,888 : 68,845.68 = 27,533.44 : x
  2. Step 2: Convert to fraction form
    49,888/68,845.68 = 27,533.44/x
  3. Step 3: Cross multiply
    49,888x = 68,845.68 × 27,533.44
  4. Step 4: Simplify right side
    49,888x = 1,895,558,399.54
  5. Step 5: Solve for x
    x = 1,895,558,399.54/49,888
  6. Step 6: Final answer
    x = 37,996.28

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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.