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Finding the Fourth Proportional to 49,383, 68,148.54 and 27,027

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Solution

The fourth proportional to 49,383, 68,148.54 and 27,027 is: 37,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,383 : 68,148.54 = 27,027 : x
  2. Step 2: Convert to fraction form
    49,383/68,148.54 = 27,027/x
  3. Step 3: Cross multiply
    49,383x = 68,148.54 × 27,027
  4. Step 4: Simplify right side
    49,383x = 1,841,850,590.58
  5. Step 5: Solve for x
    x = 1,841,850,590.58/49,383
  6. Step 6: Final answer
    x = 37,297.26

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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.