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Finding the Fourth Proportional to 37,096.44, 51,193 and 20,101.14

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Solution

The fourth proportional to 37,096.44, 51,193 and 20,101.14 is: 27,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,096.44 : 51,193 = 20,101.14 : x
  2. Step 2: Convert to fraction form
    37,096.44/51,193 = 20,101.14/x
  3. Step 3: Cross multiply
    37,096.44x = 51,193 × 20,101.14
  4. Step 4: Simplify right side
    37,096.44x = 1,029,037,660.02
  5. Step 5: Solve for x
    x = 1,029,037,660.02/37,096.44
  6. Step 6: Final answer
    x = 27,739.53

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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.