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Finding the Fourth Proportional to 33,499.89, 50,257.13 and 9,809.37

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Solution

The fourth proportional to 33,499.89, 50,257.13 and 9,809.37 is: 14,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,499.89 : 50,257.13 = 9,809.37 : x
  2. Step 2: Convert to fraction form
    33,499.89/50,257.13 = 9,809.37/x
  3. Step 3: Cross multiply
    33,499.89x = 50,257.13 × 9,809.37
  4. Step 4: Simplify right side
    33,499.89x = 492,990,734.26
  5. Step 5: Solve for x
    x = 492,990,734.26/33,499.89
  6. Step 6: Final answer
    x = 14,716.19

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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.