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Finding the Fourth Proportional to 33,647.35, 50,471.43 and 14,410.51

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Solution

The fourth proportional to 33,647.35, 50,471.43 and 14,410.51 is: 21,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.35 : 50,471.43 = 14,410.51 : x
  2. Step 2: Convert to fraction form
    33,647.35/50,471.43 = 14,410.51/x
  3. Step 3: Cross multiply
    33,647.35x = 50,471.43 × 14,410.51
  4. Step 4: Simplify right side
    33,647.35x = 727,319,046.73
  5. Step 5: Solve for x
    x = 727,319,046.73/33,647.35
  6. Step 6: Final answer
    x = 21,615.94

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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.