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Finding the Fourth Proportional to 33,409.57, 50,120.14 and 11,225.11

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Solution

The fourth proportional to 33,409.57, 50,120.14 and 11,225.11 is: 16,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,409.57 : 50,120.14 = 11,225.11 : x
  2. Step 2: Convert to fraction form
    33,409.57/50,120.14 = 11,225.11/x
  3. Step 3: Cross multiply
    33,409.57x = 50,120.14 × 11,225.11
  4. Step 4: Simplify right side
    33,409.57x = 562,603,806.05
  5. Step 5: Solve for x
    x = 562,603,806.05/33,409.57
  6. Step 6: Final answer
    x = 16,839.60

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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.