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Finding the Fourth Proportional to 32,942.63, 49,414.05 and 7,982.63

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Solution

The fourth proportional to 32,942.63, 49,414.05 and 7,982.63 is: 11,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942.63 : 49,414.05 = 7,982.63 : x
  2. Step 2: Convert to fraction form
    32,942.63/49,414.05 = 7,982.63/x
  3. Step 3: Cross multiply
    32,942.63x = 49,414.05 × 7,982.63
  4. Step 4: Simplify right side
    32,942.63x = 394,454,077.95
  5. Step 5: Solve for x
    x = 394,454,077.95/32,942.63
  6. Step 6: Final answer
    x = 11,973.97

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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.