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Finding the Fourth Proportional to 31,919.87, 47,883.07 and 12,215

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Solution

The fourth proportional to 31,919.87, 47,883.07 and 12,215 is: 18,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,919.87 : 47,883.07 = 12,215 : x
  2. Step 2: Convert to fraction form
    31,919.87/47,883.07 = 12,215/x
  3. Step 3: Cross multiply
    31,919.87x = 47,883.07 × 12,215
  4. Step 4: Simplify right side
    31,919.87x = 584,891,700.05
  5. Step 5: Solve for x
    x = 584,891,700.05/31,919.87
  6. Step 6: Final answer
    x = 18,323.75

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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.