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Finding the Fourth Proportional to 37,100.92, 51,199.46 and 20,105.16

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Solution

The fourth proportional to 37,100.92, 51,199.46 and 20,105.16 is: 27,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,100.92 : 51,199.46 = 20,105.16 : x
  2. Step 2: Convert to fraction form
    37,100.92/51,199.46 = 20,105.16/x
  3. Step 3: Cross multiply
    37,100.92x = 51,199.46 × 20,105.16
  4. Step 4: Simplify right side
    37,100.92x = 1,029,373,335.21
  5. Step 5: Solve for x
    x = 1,029,373,335.21/37,100.92
  6. Step 6: Final answer
    x = 27,745.22

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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.