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Finding the Fourth Proportional to 32,546.40, 48,819.60 and 20,145.30

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Solution

The fourth proportional to 32,546.40, 48,819.60 and 20,145.30 is: 30,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.40 : 48,819.60 = 20,145.30 : x
  2. Step 2: Convert to fraction form
    32,546.40/48,819.60 = 20,145.30/x
  3. Step 3: Cross multiply
    32,546.40x = 48,819.60 × 20,145.30
  4. Step 4: Simplify right side
    32,546.40x = 983,485,487.88
  5. Step 5: Solve for x
    x = 983,485,487.88/32,546.40
  6. Step 6: Final answer
    x = 30,217.95

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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.