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Finding the Fourth Proportional to 49,442, 68,233.20 and 27,086

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Solution

The fourth proportional to 49,442, 68,233.20 and 27,086 is: 37,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442 : 68,233.20 = 27,086 : x
  2. Step 2: Convert to fraction form
    49,442/68,233.20 = 27,086/x
  3. Step 3: Cross multiply
    49,442x = 68,233.20 × 27,086
  4. Step 4: Simplify right side
    49,442x = 1,848,164,455.20
  5. Step 5: Solve for x
    x = 1,848,164,455.20/49,442
  6. Step 6: Final answer
    x = 37,380.45

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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.