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Finding the Fourth Proportional to 20,050.67, 30,078.89 and 6,200.75

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Solution

The fourth proportional to 20,050.67, 30,078.89 and 6,200.75 is: 9,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050.67 : 30,078.89 = 6,200.75 : x
  2. Step 2: Convert to fraction form
    20,050.67/30,078.89 = 6,200.75/x
  3. Step 3: Cross multiply
    20,050.67x = 30,078.89 × 6,200.75
  4. Step 4: Simplify right side
    20,050.67x = 186,511,677.17
  5. Step 5: Solve for x
    x = 186,511,677.17/20,050.67
  6. Step 6: Final answer
    x = 9,302.02

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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.