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Finding the Fourth Proportional to 36,936.13, 50,972 and 20,169.13

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Solution

The fourth proportional to 36,936.13, 50,972 and 20,169.13 is: 27,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,936.13 : 50,972 = 20,169.13 : x
  2. Step 2: Convert to fraction form
    36,936.13/50,972 = 20,169.13/x
  3. Step 3: Cross multiply
    36,936.13x = 50,972 × 20,169.13
  4. Step 4: Simplify right side
    36,936.13x = 1,028,060,894.36
  5. Step 5: Solve for x
    x = 1,028,060,894.36/36,936.13
  6. Step 6: Final answer
    x = 27,833.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.