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Finding the Fourth Proportional to 33,408.54, 50,069.07 and 13,663.98

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Solution

The fourth proportional to 33,408.54, 50,069.07 and 13,663.98 is: 20,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408.54 : 50,069.07 = 13,663.98 : x
  2. Step 2: Convert to fraction form
    33,408.54/50,069.07 = 13,663.98/x
  3. Step 3: Cross multiply
    33,408.54x = 50,069.07 × 13,663.98
  4. Step 4: Simplify right side
    33,408.54x = 684,142,771.10
  5. Step 5: Solve for x
    x = 684,142,771.10/33,408.54
  6. Step 6: Final answer
    x = 20,478.08

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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.