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Finding the Fourth Proportional to 55,640.54, 83,474.49 and 16,198

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Solution

The fourth proportional to 55,640.54, 83,474.49 and 16,198 is: 24,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,640.54 : 83,474.49 = 16,198 : x
  2. Step 2: Convert to fraction form
    55,640.54/83,474.49 = 16,198/x
  3. Step 3: Cross multiply
    55,640.54x = 83,474.49 × 16,198
  4. Step 4: Simplify right side
    55,640.54x = 1,352,119,789.02
  5. Step 5: Solve for x
    x = 1,352,119,789.02/55,640.54
  6. Step 6: Final answer
    x = 24,300.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.