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Finding the Fourth Proportional to 36,463, 50,318.96 and 19,696

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Solution

The fourth proportional to 36,463, 50,318.96 and 19,696 is: 27,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,463 : 50,318.96 = 19,696 : x
  2. Step 2: Convert to fraction form
    36,463/50,318.96 = 19,696/x
  3. Step 3: Cross multiply
    36,463x = 50,318.96 × 19,696
  4. Step 4: Simplify right side
    36,463x = 991,082,236.16
  5. Step 5: Solve for x
    x = 991,082,236.16/36,463
  6. Step 6: Final answer
    x = 27,180.49

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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.