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Finding the Fourth Proportional to 33,564.01, 50,356.02 and 13,843.75

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Solution

The fourth proportional to 33,564.01, 50,356.02 and 13,843.75 is: 20,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564.01 : 50,356.02 = 13,843.75 : x
  2. Step 2: Convert to fraction form
    33,564.01/50,356.02 = 13,843.75/x
  3. Step 3: Cross multiply
    33,564.01x = 50,356.02 × 13,843.75
  4. Step 4: Simplify right side
    33,564.01x = 697,116,151.88
  5. Step 5: Solve for x
    x = 697,116,151.88/33,564.01
  6. Step 6: Final answer
    x = 20,769.75

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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.