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Finding the Fourth Proportional to 50,251.84, 75,279.76 and 27,998.20

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Solution

The fourth proportional to 50,251.84, 75,279.76 and 27,998.20 is: 41,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,251.84 : 75,279.76 = 27,998.20 : x
  2. Step 2: Convert to fraction form
    50,251.84/75,279.76 = 27,998.20/x
  3. Step 3: Cross multiply
    50,251.84x = 75,279.76 × 27,998.20
  4. Step 4: Simplify right side
    50,251.84x = 2,107,697,776.43
  5. Step 5: Solve for x
    x = 2,107,697,776.43/50,251.84
  6. Step 6: Final answer
    x = 41,942.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.