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Finding the Fourth Proportional to 33,846, 50,773.86 and 10,474.26

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Solution

The fourth proportional to 33,846, 50,773.86 and 10,474.26 is: 15,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846 : 50,773.86 = 10,474.26 : x
  2. Step 2: Convert to fraction form
    33,846/50,773.86 = 10,474.26/x
  3. Step 3: Cross multiply
    33,846x = 50,773.86 × 10,474.26
  4. Step 4: Simplify right side
    33,846x = 531,818,610.84
  5. Step 5: Solve for x
    x = 531,818,610.84/33,846
  6. Step 6: Final answer
    x = 15,712.89

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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.