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Finding the Fourth Proportional to 38,599.20, 57,855.60 and 16,408.80

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Solution

The fourth proportional to 38,599.20, 57,855.60 and 16,408.80 is: 24,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,599.20 : 57,855.60 = 16,408.80 : x
  2. Step 2: Convert to fraction form
    38,599.20/57,855.60 = 16,408.80/x
  3. Step 3: Cross multiply
    38,599.20x = 57,855.60 × 16,408.80
  4. Step 4: Simplify right side
    38,599.20x = 949,340,969.28
  5. Step 5: Solve for x
    x = 949,340,969.28/38,599.20
  6. Step 6: Final answer
    x = 24,594.84

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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.