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Finding the Fourth Proportional to 49,195.99, 67,890.13 and 27,975.25

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Solution

The fourth proportional to 49,195.99, 67,890.13 and 27,975.25 is: 38,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,195.99 : 67,890.13 = 27,975.25 : x
  2. Step 2: Convert to fraction form
    49,195.99/67,890.13 = 27,975.25/x
  3. Step 3: Cross multiply
    49,195.99x = 67,890.13 × 27,975.25
  4. Step 4: Simplify right side
    49,195.99x = 1,899,243,359.28
  5. Step 5: Solve for x
    x = 1,899,243,359.28/49,195.99
  6. Step 6: Final answer
    x = 38,605.65

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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.