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Finding the Fourth Proportional to 50,245.20, 75,416.40 and 30,562.20

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Solution

The fourth proportional to 50,245.20, 75,416.40 and 30,562.20 is: 45,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,245.20 : 75,416.40 = 30,562.20 : x
  2. Step 2: Convert to fraction form
    50,245.20/75,416.40 = 30,562.20/x
  3. Step 3: Cross multiply
    50,245.20x = 75,416.40 × 30,562.20
  4. Step 4: Simplify right side
    50,245.20x = 2,304,891,100.08
  5. Step 5: Solve for x
    x = 2,304,891,100.08/50,245.20
  6. Step 6: Final answer
    x = 45,872.86

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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.