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Finding the Fourth Proportional to 30,577.38, 42,183.99 and 19,226.76

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Solution

The fourth proportional to 30,577.38, 42,183.99 and 19,226.76 is: 26,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.38 : 42,183.99 = 19,226.76 : x
  2. Step 2: Convert to fraction form
    30,577.38/42,183.99 = 19,226.76/x
  3. Step 3: Cross multiply
    30,577.38x = 42,183.99 × 19,226.76
  4. Step 4: Simplify right side
    30,577.38x = 811,061,451.57
  5. Step 5: Solve for x
    x = 811,061,451.57/30,577.38
  6. Step 6: Final answer
    x = 26,524.88

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Why These Related Problems?

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