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Finding the Fourth Proportional to 32,203.20, 48,306.24 and 16,651.20

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Solution

The fourth proportional to 32,203.20, 48,306.24 and 16,651.20 is: 24,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.20 : 48,306.24 = 16,651.20 : x
  2. Step 2: Convert to fraction form
    32,203.20/48,306.24 = 16,651.20/x
  3. Step 3: Cross multiply
    32,203.20x = 48,306.24 × 16,651.20
  4. Step 4: Simplify right side
    32,203.20x = 804,356,863.49
  5. Step 5: Solve for x
    x = 804,356,863.49/32,203.20
  6. Step 6: Final answer
    x = 24,977.54

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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.