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Finding the Fourth Proportional to 36,199.14, 49,956.17 and 20,283

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Solution

The fourth proportional to 36,199.14, 49,956.17 and 20,283 is: 27,991.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,199.14 : 49,956.17 = 20,283 : x
  2. Step 2: Convert to fraction form
    36,199.14/49,956.17 = 20,283/x
  3. Step 3: Cross multiply
    36,199.14x = 49,956.17 × 20,283
  4. Step 4: Simplify right side
    36,199.14x = 1,013,260,894.70
  5. Step 5: Solve for x
    x = 1,013,260,894.70/36,199.14
  6. Step 6: Final answer
    x = 27,991.30

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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.