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Finding the Fourth Proportional to 30,808.20, 42,495.74 and 20,198.52

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Solution

The fourth proportional to 30,808.20, 42,495.74 and 20,198.52 is: 27,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.20 : 42,495.74 = 20,198.52 : x
  2. Step 2: Convert to fraction form
    30,808.20/42,495.74 = 20,198.52/x
  3. Step 3: Cross multiply
    30,808.20x = 42,495.74 × 20,198.52
  4. Step 4: Simplify right side
    30,808.20x = 858,351,054.30
  5. Step 5: Solve for x
    x = 858,351,054.30/30,808.20
  6. Step 6: Final answer
    x = 27,861.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.