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Finding the Fourth Proportional to 20,052.25, 30,078.38 and 6,201.25

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Solution

The fourth proportional to 20,052.25, 30,078.38 and 6,201.25 is: 9,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052.25 : 30,078.38 = 6,201.25 : x
  2. Step 2: Convert to fraction form
    20,052.25/30,078.38 = 6,201.25/x
  3. Step 3: Cross multiply
    20,052.25x = 30,078.38 × 6,201.25
  4. Step 4: Simplify right side
    20,052.25x = 186,523,553.98
  5. Step 5: Solve for x
    x = 186,523,553.98/20,052.25
  6. Step 6: Final answer
    x = 9,301.88

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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.