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Finding the Fourth Proportional to 49,615.92, 74,424.24 and 20,028.24

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Solution

The fourth proportional to 49,615.92, 74,424.24 and 20,028.24 is: 30,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,615.92 : 74,424.24 = 20,028.24 : x
  2. Step 2: Convert to fraction form
    49,615.92/74,424.24 = 20,028.24/x
  3. Step 3: Cross multiply
    49,615.92x = 74,424.24 × 20,028.24
  4. Step 4: Simplify right side
    49,615.92x = 1,490,586,540.54
  5. Step 5: Solve for x
    x = 1,490,586,540.54/49,615.92
  6. Step 6: Final answer
    x = 30,042.51

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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.