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Finding the Fourth Proportional to 33,905.24, 50,822.04 and 16,337.96

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Solution

The fourth proportional to 33,905.24, 50,822.04 and 16,337.96 is: 24,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,905.24 : 50,822.04 = 16,337.96 : x
  2. Step 2: Convert to fraction form
    33,905.24/50,822.04 = 16,337.96/x
  3. Step 3: Cross multiply
    33,905.24x = 50,822.04 × 16,337.96
  4. Step 4: Simplify right side
    33,905.24x = 830,328,456.64
  5. Step 5: Solve for x
    x = 830,328,456.64/33,905.24
  6. Step 6: Final answer
    x = 24,489.68

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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.