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Finding the Fourth Proportional to 36,105.48, 49,825.46 and 20,189.96

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Solution

The fourth proportional to 36,105.48, 49,825.46 and 20,189.96 is: 27,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,105.48 : 49,825.46 = 20,189.96 : x
  2. Step 2: Convert to fraction form
    36,105.48/49,825.46 = 20,189.96/x
  3. Step 3: Cross multiply
    36,105.48x = 49,825.46 × 20,189.96
  4. Step 4: Simplify right side
    36,105.48x = 1,005,974,044.38
  5. Step 5: Solve for x
    x = 1,005,974,044.38/36,105.48
  6. Step 6: Final answer
    x = 27,862.09

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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.