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Finding the Fourth Proportional to 29,297.92, 43,942.10 and 8,239.40

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Solution

The fourth proportional to 29,297.92, 43,942.10 and 8,239.40 is: 12,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,297.92 : 43,942.10 = 8,239.40 : x
  2. Step 2: Convert to fraction form
    29,297.92/43,942.10 = 8,239.40/x
  3. Step 3: Cross multiply
    29,297.92x = 43,942.10 × 8,239.40
  4. Step 4: Simplify right side
    29,297.92x = 362,056,538.74
  5. Step 5: Solve for x
    x = 362,056,538.74/29,297.92
  6. Step 6: Final answer
    x = 12,357.76

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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.