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Finding the Fourth Proportional to 55,249.96, 82,874.88 and 13,696.96

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Solution

The fourth proportional to 55,249.96, 82,874.88 and 13,696.96 is: 20,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,249.96 : 82,874.88 = 13,696.96 : x
  2. Step 2: Convert to fraction form
    55,249.96/82,874.88 = 13,696.96/x
  3. Step 3: Cross multiply
    55,249.96x = 82,874.88 × 13,696.96
  4. Step 4: Simplify right side
    55,249.96x = 1,135,133,916.36
  5. Step 5: Solve for x
    x = 1,135,133,916.36/55,249.96
  6. Step 6: Final answer
    x = 20,545.43

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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.