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Finding the Fourth Proportional to 20,049.12, 30,078.48 and 6,198

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Solution

The fourth proportional to 20,049.12, 30,078.48 and 6,198 is: 9,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.12 : 30,078.48 = 6,198 : x
  2. Step 2: Convert to fraction form
    20,049.12/30,078.48 = 6,198/x
  3. Step 3: Cross multiply
    20,049.12x = 30,078.48 × 6,198
  4. Step 4: Simplify right side
    20,049.12x = 186,426,419.04
  5. Step 5: Solve for x
    x = 186,426,419.04/20,049.12
  6. Step 6: Final answer
    x = 9,298.48

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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.