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Finding the Fourth Proportional to 30,568.14, 45,854.07 and 8,380.62

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Solution

The fourth proportional to 30,568.14, 45,854.07 and 8,380.62 is: 12,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.14 : 45,854.07 = 8,380.62 : x
  2. Step 2: Convert to fraction form
    30,568.14/45,854.07 = 8,380.62/x
  3. Step 3: Cross multiply
    30,568.14x = 45,854.07 × 8,380.62
  4. Step 4: Simplify right side
    30,568.14x = 384,285,536.12
  5. Step 5: Solve for x
    x = 384,285,536.12/30,568.14
  6. Step 6: Final answer
    x = 12,571.44

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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.