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Finding the Fourth Proportional to 30,753.64, 42,446.10 and 18,008.20

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Solution

The fourth proportional to 30,753.64, 42,446.10 and 18,008.20 is: 24,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,753.64 : 42,446.10 = 18,008.20 : x
  2. Step 2: Convert to fraction form
    30,753.64/42,446.10 = 18,008.20/x
  3. Step 3: Cross multiply
    30,753.64x = 42,446.10 × 18,008.20
  4. Step 4: Simplify right side
    30,753.64x = 764,377,858.02
  5. Step 5: Solve for x
    x = 764,377,858.02/30,753.64
  6. Step 6: Final answer
    x = 24,854.87

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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.