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Finding the Fourth Proportional to 33,783.20, 50,705.80 and 17,154.80

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Solution

The fourth proportional to 33,783.20, 50,705.80 and 17,154.80 is: 25,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.20 : 50,705.80 = 17,154.80 : x
  2. Step 2: Convert to fraction form
    33,783.20/50,705.80 = 17,154.80/x
  3. Step 3: Cross multiply
    33,783.20x = 50,705.80 × 17,154.80
  4. Step 4: Simplify right side
    33,783.20x = 869,847,857.84
  5. Step 5: Solve for x
    x = 869,847,857.84/33,783.20
  6. Step 6: Final answer
    x = 25,747.94

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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.