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Finding the Fourth Proportional to 37,102.92, 51,202.22 and 20,107.16

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Solution

The fourth proportional to 37,102.92, 51,202.22 and 20,107.16 is: 27,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.92 : 51,202.22 = 20,107.16 : x
  2. Step 2: Convert to fraction form
    37,102.92/51,202.22 = 20,107.16/x
  3. Step 3: Cross multiply
    37,102.92x = 51,202.22 × 20,107.16
  4. Step 4: Simplify right side
    37,102.92x = 1,029,531,229.90
  5. Step 5: Solve for x
    x = 1,029,531,229.90/37,102.92
  6. Step 6: Final answer
    x = 27,747.98

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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.