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Finding the Fourth Proportional to 32,378.87, 48,487.21 and 20,496.78

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Solution

The fourth proportional to 32,378.87, 48,487.21 and 20,496.78 is: 30,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.87 : 48,487.21 = 20,496.78 : x
  2. Step 2: Convert to fraction form
    32,378.87/48,487.21 = 20,496.78/x
  3. Step 3: Cross multiply
    32,378.87x = 48,487.21 × 20,496.78
  4. Step 4: Simplify right side
    32,378.87x = 993,831,624.94
  5. Step 5: Solve for x
    x = 993,831,624.94/32,378.87
  6. Step 6: Final answer
    x = 30,693.83

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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.