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Finding the Fourth Proportional to 49,198.65, 67,888.53 and 27,684.24

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Solution

The fourth proportional to 49,198.65, 67,888.53 and 27,684.24 is: 38,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198.65 : 67,888.53 = 27,684.24 : x
  2. Step 2: Convert to fraction form
    49,198.65/67,888.53 = 27,684.24/x
  3. Step 3: Cross multiply
    49,198.65x = 67,888.53 × 27,684.24
  4. Step 4: Simplify right side
    49,198.65x = 1,879,442,357.77
  5. Step 5: Solve for x
    x = 1,879,442,357.77/49,198.65
  6. Step 6: Final answer
    x = 38,201.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.