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Finding the Fourth Proportional to 30,892, 42,633.84 and 17,644

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Solution

The fourth proportional to 30,892, 42,633.84 and 17,644 is: 24,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892 : 42,633.84 = 17,644 : x
  2. Step 2: Convert to fraction form
    30,892/42,633.84 = 17,644/x
  3. Step 3: Cross multiply
    30,892x = 42,633.84 × 17,644
  4. Step 4: Simplify right side
    30,892x = 752,231,472.96
  5. Step 5: Solve for x
    x = 752,231,472.96/30,892
  6. Step 6: Final answer
    x = 24,350.36

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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.