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Finding the Fourth Proportional to 33,563.56, 50,338.25 and 9,864.68

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Solution

The fourth proportional to 33,563.56, 50,338.25 and 9,864.68 is: 14,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,563.56 : 50,338.25 = 9,864.68 : x
  2. Step 2: Convert to fraction form
    33,563.56/50,338.25 = 9,864.68/x
  3. Step 3: Cross multiply
    33,563.56x = 50,338.25 × 9,864.68
  4. Step 4: Simplify right side
    33,563.56x = 496,570,552.84
  5. Step 5: Solve for x
    x = 496,570,552.84/33,563.56
  6. Step 6: Final answer
    x = 14,794.93

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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.