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Finding the Fourth Proportional to 33,507.72, 50,245.98 and 12,433.08

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Solution

The fourth proportional to 33,507.72, 50,245.98 and 12,433.08 is: 18,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,507.72 : 50,245.98 = 12,433.08 : x
  2. Step 2: Convert to fraction form
    33,507.72/50,245.98 = 12,433.08/x
  3. Step 3: Cross multiply
    33,507.72x = 50,245.98 × 12,433.08
  4. Step 4: Simplify right side
    33,507.72x = 624,712,289.02
  5. Step 5: Solve for x
    x = 624,712,289.02/33,507.72
  6. Step 6: Final answer
    x = 18,643.83

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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.