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Finding the Fourth Proportional to 31,395.84, 47,093.80 and 8,022.30

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Solution

The fourth proportional to 31,395.84, 47,093.80 and 8,022.30 is: 12,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,395.84 : 47,093.80 = 8,022.30 : x
  2. Step 2: Convert to fraction form
    31,395.84/47,093.80 = 8,022.30/x
  3. Step 3: Cross multiply
    31,395.84x = 47,093.80 × 8,022.30
  4. Step 4: Simplify right side
    31,395.84x = 377,800,591.74
  5. Step 5: Solve for x
    x = 377,800,591.74/31,395.84
  6. Step 6: Final answer
    x = 12,033.46

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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.