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Finding the Fourth Proportional to 32,616.72, 48,891 and 20,103.84

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Solution

The fourth proportional to 32,616.72, 48,891 and 20,103.84 is: 30,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616.72 : 48,891 = 20,103.84 : x
  2. Step 2: Convert to fraction form
    32,616.72/48,891 = 20,103.84/x
  3. Step 3: Cross multiply
    32,616.72x = 48,891 × 20,103.84
  4. Step 4: Simplify right side
    32,616.72x = 982,896,841.44
  5. Step 5: Solve for x
    x = 982,896,841.44/32,616.72
  6. Step 6: Final answer
    x = 30,134.75

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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.