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Finding the Fourth Proportional to 30,221.80, 45,311.10 and 13,568.20

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Solution

The fourth proportional to 30,221.80, 45,311.10 and 13,568.20 is: 20,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.80 : 45,311.10 = 13,568.20 : x
  2. Step 2: Convert to fraction form
    30,221.80/45,311.10 = 13,568.20/x
  3. Step 3: Cross multiply
    30,221.80x = 45,311.10 × 13,568.20
  4. Step 4: Simplify right side
    30,221.80x = 614,790,067.02
  5. Step 5: Solve for x
    x = 614,790,067.02/30,221.80
  6. Step 6: Final answer
    x = 20,342.60

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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.