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Finding the Fourth Proportional to 32,127.30, 48,163.22 and 15,464.38

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Solution

The fourth proportional to 32,127.30, 48,163.22 and 15,464.38 is: 23,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,127.30 : 48,163.22 = 15,464.38 : x
  2. Step 2: Convert to fraction form
    32,127.30/48,163.22 = 15,464.38/x
  3. Step 3: Cross multiply
    32,127.30x = 48,163.22 × 15,464.38
  4. Step 4: Simplify right side
    32,127.30x = 744,814,336.10
  5. Step 5: Solve for x
    x = 744,814,336.10/32,127.30
  6. Step 6: Final answer
    x = 23,183.22

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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.