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Finding the Fourth Proportional to 55,249.65, 82,874.39 and 13,696.65

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Solution

The fourth proportional to 55,249.65, 82,874.39 and 13,696.65 is: 20,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,249.65 : 82,874.39 = 13,696.65 : x
  2. Step 2: Convert to fraction form
    55,249.65/82,874.39 = 13,696.65/x
  3. Step 3: Cross multiply
    55,249.65x = 82,874.39 × 13,696.65
  4. Step 4: Simplify right side
    55,249.65x = 1,135,101,445.31
  5. Step 5: Solve for x
    x = 1,135,101,445.31/55,249.65
  6. Step 6: Final answer
    x = 20,544.95

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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.