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Finding the Fourth Proportional to 33,661.20, 50,501.64 and 9,969.36

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Solution

The fourth proportional to 33,661.20, 50,501.64 and 9,969.36 is: 14,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,661.20 : 50,501.64 = 9,969.36 : x
  2. Step 2: Convert to fraction form
    33,661.20/50,501.64 = 9,969.36/x
  3. Step 3: Cross multiply
    33,661.20x = 50,501.64 × 9,969.36
  4. Step 4: Simplify right side
    33,661.20x = 503,469,029.75
  5. Step 5: Solve for x
    x = 503,469,029.75/33,661.20
  6. Step 6: Final answer
    x = 14,956.95

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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.