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Finding the Fourth Proportional to 33,435.20, 50,078.84 and 13,653.78

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Solution

The fourth proportional to 33,435.20, 50,078.84 and 13,653.78 is: 20,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,435.20 : 50,078.84 = 13,653.78 : x
  2. Step 2: Convert to fraction form
    33,435.20/50,078.84 = 13,653.78/x
  3. Step 3: Cross multiply
    33,435.20x = 50,078.84 × 13,653.78
  4. Step 4: Simplify right side
    33,435.20x = 683,765,464.02
  5. Step 5: Solve for x
    x = 683,765,464.02/33,435.20
  6. Step 6: Final answer
    x = 20,450.47

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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.