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Finding the Fourth Proportional to 32,019.44, 48,022.67 and 8,640.41

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Solution

The fourth proportional to 32,019.44, 48,022.67 and 8,640.41 is: 12,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.44 : 48,022.67 = 8,640.41 : x
  2. Step 2: Convert to fraction form
    32,019.44/48,022.67 = 8,640.41/x
  3. Step 3: Cross multiply
    32,019.44x = 48,022.67 × 8,640.41
  4. Step 4: Simplify right side
    32,019.44x = 414,935,339.58
  5. Step 5: Solve for x
    x = 414,935,339.58/32,019.44
  6. Step 6: Final answer
    x = 12,958.86

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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.