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Finding the Fourth Proportional to 32,201.40, 48,299.70 and 16,396.53

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Solution

The fourth proportional to 32,201.40, 48,299.70 and 16,396.53 is: 24,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.40 : 48,299.70 = 16,396.53 : x
  2. Step 2: Convert to fraction form
    32,201.40/48,299.70 = 16,396.53/x
  3. Step 3: Cross multiply
    32,201.40x = 48,299.70 × 16,396.53
  4. Step 4: Simplify right side
    32,201.40x = 791,947,480.04
  5. Step 5: Solve for x
    x = 791,947,480.04/32,201.40
  6. Step 6: Final answer
    x = 24,593.57

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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.