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Finding the Fourth Proportional to 30,974.82, 42,745.14 and 16,827.54

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Solution

The fourth proportional to 30,974.82, 42,745.14 and 16,827.54 is: 23,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.82 : 42,745.14 = 16,827.54 : x
  2. Step 2: Convert to fraction form
    30,974.82/42,745.14 = 16,827.54/x
  3. Step 3: Cross multiply
    30,974.82x = 42,745.14 × 16,827.54
  4. Step 4: Simplify right side
    30,974.82x = 719,295,553.16
  5. Step 5: Solve for x
    x = 719,295,553.16/30,974.82
  6. Step 6: Final answer
    x = 23,221.94

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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.