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Finding the Fourth Proportional to 30,601.44, 42,231.60 and 17,172

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Solution

The fourth proportional to 30,601.44, 42,231.60 and 17,172 is: 23,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.44 : 42,231.60 = 17,172 : x
  2. Step 2: Convert to fraction form
    30,601.44/42,231.60 = 17,172/x
  3. Step 3: Cross multiply
    30,601.44x = 42,231.60 × 17,172
  4. Step 4: Simplify right side
    30,601.44x = 725,201,035.20
  5. Step 5: Solve for x
    x = 725,201,035.20/30,601.44
  6. Step 6: Final answer
    x = 23,698.27

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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.