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Finding the Fourth Proportional to 33,922.64, 50,866.68 and 22,846.16

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Solution

The fourth proportional to 33,922.64, 50,866.68 and 22,846.16 is: 34,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,922.64 : 50,866.68 = 22,846.16 : x
  2. Step 2: Convert to fraction form
    33,922.64/50,866.68 = 22,846.16/x
  3. Step 3: Cross multiply
    33,922.64x = 50,866.68 × 22,846.16
  4. Step 4: Simplify right side
    33,922.64x = 1,162,108,309.95
  5. Step 5: Solve for x
    x = 1,162,108,309.95/33,922.64
  6. Step 6: Final answer
    x = 34,257.60

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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.