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Finding the Fourth Proportional to 36,431.37, 50,266.17 and 27,942.17

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Solution

The fourth proportional to 36,431.37, 50,266.17 and 27,942.17 is: 38,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,431.37 : 50,266.17 = 27,942.17 : x
  2. Step 2: Convert to fraction form
    36,431.37/50,266.17 = 27,942.17/x
  3. Step 3: Cross multiply
    36,431.37x = 50,266.17 × 27,942.17
  4. Step 4: Simplify right side
    36,431.37x = 1,404,545,616.06
  5. Step 5: Solve for x
    x = 1,404,545,616.06/36,431.37
  6. Step 6: Final answer
    x = 38,553.19

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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.