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Finding the Fourth Proportional to 81,919.62, 122,881.86 and 31,997.70

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Solution

The fourth proportional to 81,919.62, 122,881.86 and 31,997.70 is: 47,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,919.62 : 122,881.86 = 31,997.70 : x
  2. Step 2: Convert to fraction form
    81,919.62/122,881.86 = 31,997.70/x
  3. Step 3: Cross multiply
    81,919.62x = 122,881.86 × 31,997.70
  4. Step 4: Simplify right side
    81,919.62x = 3,931,936,891.72
  5. Step 5: Solve for x
    x = 3,931,936,891.72/81,919.62
  6. Step 6: Final answer
    x = 47,997.50

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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.