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Finding the Fourth Proportional to 30,778.49, 42,474.30 and 16,631.33

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Solution

The fourth proportional to 30,778.49, 42,474.30 and 16,631.33 is: 22,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.49 : 42,474.30 = 16,631.33 : x
  2. Step 2: Convert to fraction form
    30,778.49/42,474.30 = 16,631.33/x
  3. Step 3: Cross multiply
    30,778.49x = 42,474.30 × 16,631.33
  4. Step 4: Simplify right side
    30,778.49x = 706,404,099.82
  5. Step 5: Solve for x
    x = 706,404,099.82/30,778.49
  6. Step 6: Final answer
    x = 22,951.23

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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.