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Finding the Fourth Proportional to 32,676, 49,014 and 8,052

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Solution

The fourth proportional to 32,676, 49,014 and 8,052 is: 12,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676 : 49,014 = 8,052 : x
  2. Step 2: Convert to fraction form
    32,676/49,014 = 8,052/x
  3. Step 3: Cross multiply
    32,676x = 49,014 × 8,052
  4. Step 4: Simplify right side
    32,676x = 394,660,728
  5. Step 5: Solve for x
    x = 394,660,728/32,676
  6. Step 6: Final answer
    x = 12,078

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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.