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Finding the Fourth Proportional to 30,808.32, 42,495.92 and 20,198.64

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Solution

The fourth proportional to 30,808.32, 42,495.92 and 20,198.64 is: 27,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.32 : 42,495.92 = 20,198.64 : x
  2. Step 2: Convert to fraction form
    30,808.32/42,495.92 = 20,198.64/x
  3. Step 3: Cross multiply
    30,808.32x = 42,495.92 × 20,198.64
  4. Step 4: Simplify right side
    30,808.32x = 858,359,688.56
  5. Step 5: Solve for x
    x = 858,359,688.56/30,808.32
  6. Step 6: Final answer
    x = 27,861.29

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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.