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Finding the Fourth Proportional to 33,647.34, 50,471.39 and 14,410.48

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Solution

The fourth proportional to 33,647.34, 50,471.39 and 14,410.48 is: 21,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.34 : 50,471.39 = 14,410.48 : x
  2. Step 2: Convert to fraction form
    33,647.34/50,471.39 = 14,410.48/x
  3. Step 3: Cross multiply
    33,647.34x = 50,471.39 × 14,410.48
  4. Step 4: Simplify right side
    33,647.34x = 727,317,082.33
  5. Step 5: Solve for x
    x = 727,317,082.33/33,647.34
  6. Step 6: Final answer
    x = 21,615.89

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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.