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Finding the Fourth Proportional to 33,578.45, 50,380.89 and 13,852.32

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Solution

The fourth proportional to 33,578.45, 50,380.89 and 13,852.32 is: 20,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,578.45 : 50,380.89 = 13,852.32 : x
  2. Step 2: Convert to fraction form
    33,578.45/50,380.89 = 13,852.32/x
  3. Step 3: Cross multiply
    33,578.45x = 50,380.89 × 13,852.32
  4. Step 4: Simplify right side
    33,578.45x = 697,891,969.29
  5. Step 5: Solve for x
    x = 697,891,969.29/33,578.45
  6. Step 6: Final answer
    x = 20,783.93

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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.