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Finding the Fourth Proportional to 20,049.32, 30,078.14 and 6,008.78

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Solution

The fourth proportional to 20,049.32, 30,078.14 and 6,008.78 is: 9,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.32 : 30,078.14 = 6,008.78 : x
  2. Step 2: Convert to fraction form
    20,049.32/30,078.14 = 6,008.78/x
  3. Step 3: Cross multiply
    20,049.32x = 30,078.14 × 6,008.78
  4. Step 4: Simplify right side
    20,049.32x = 180,732,971.22
  5. Step 5: Solve for x
    x = 180,732,971.22/20,049.32
  6. Step 6: Final answer
    x = 9,014.42

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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.