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Finding the Fourth Proportional to 29,942.82, 44,914.09 and 7,754.31

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Solution

The fourth proportional to 29,942.82, 44,914.09 and 7,754.31 is: 11,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,942.82 : 44,914.09 = 7,754.31 : x
  2. Step 2: Convert to fraction form
    29,942.82/44,914.09 = 7,754.31/x
  3. Step 3: Cross multiply
    29,942.82x = 44,914.09 × 7,754.31
  4. Step 4: Simplify right side
    29,942.82x = 348,277,777.23
  5. Step 5: Solve for x
    x = 348,277,777.23/29,942.82
  6. Step 6: Final answer
    x = 11,631.43

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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.