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Finding the Fourth Proportional to 30,491.39, 42,082.89 and 19,162.43

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Solution

The fourth proportional to 30,491.39, 42,082.89 and 19,162.43 is: 26,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.39 : 42,082.89 = 19,162.43 : x
  2. Step 2: Convert to fraction form
    30,491.39/42,082.89 = 19,162.43/x
  3. Step 3: Cross multiply
    30,491.39x = 42,082.89 × 19,162.43
  4. Step 4: Simplify right side
    30,491.39x = 806,410,223.41
  5. Step 5: Solve for x
    x = 806,410,223.41/30,491.39
  6. Step 6: Final answer
    x = 26,447.15

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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.