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Finding the Fourth Proportional to 33,813.63, 50,734.41 and 14,828.44

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Solution

The fourth proportional to 33,813.63, 50,734.41 and 14,828.44 is: 22,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,813.63 : 50,734.41 = 14,828.44 : x
  2. Step 2: Convert to fraction form
    33,813.63/50,734.41 = 14,828.44/x
  3. Step 3: Cross multiply
    33,813.63x = 50,734.41 × 14,828.44
  4. Step 4: Simplify right side
    33,813.63x = 752,311,826.81
  5. Step 5: Solve for x
    x = 752,311,826.81/33,813.63
  6. Step 6: Final answer
    x = 22,248.78

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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.