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Finding the Fourth Proportional to 30,431.93, 42,028.13 and 23,287.73

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Solution

The fourth proportional to 30,431.93, 42,028.13 and 23,287.73 is: 32,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.93 : 42,028.13 = 23,287.73 : x
  2. Step 2: Convert to fraction form
    30,431.93/42,028.13 = 23,287.73/x
  3. Step 3: Cross multiply
    30,431.93x = 42,028.13 × 23,287.73
  4. Step 4: Simplify right side
    30,431.93x = 978,739,591.92
  5. Step 5: Solve for x
    x = 978,739,591.92/30,431.93
  6. Step 6: Final answer
    x = 32,161.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.