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Finding the Fourth Proportional to 107,952.75, 161,942.49 and 36,882.54

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Solution

The fourth proportional to 107,952.75, 161,942.49 and 36,882.54 is: 55,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,952.75 : 161,942.49 = 36,882.54 : x
  2. Step 2: Convert to fraction form
    107,952.75/161,942.49 = 36,882.54/x
  3. Step 3: Cross multiply
    107,952.75x = 161,942.49 × 36,882.54
  4. Step 4: Simplify right side
    107,952.75x = 5,972,850,365.12
  5. Step 5: Solve for x
    x = 5,972,850,365.12/107,952.75
  6. Step 6: Final answer
    x = 55,328.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.