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Finding the Fourth Proportional to 36,205.72, 49,961.36 and 20,072.88

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Solution

The fourth proportional to 36,205.72, 49,961.36 and 20,072.88 is: 27,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.72 : 49,961.36 = 20,072.88 : x
  2. Step 2: Convert to fraction form
    36,205.72/49,961.36 = 20,072.88/x
  3. Step 3: Cross multiply
    36,205.72x = 49,961.36 × 20,072.88
  4. Step 4: Simplify right side
    36,205.72x = 1,002,868,383.92
  5. Step 5: Solve for x
    x = 1,002,868,383.92/36,205.72
  6. Step 6: Final answer
    x = 27,699.17

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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.