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Finding the Fourth Proportional to 49,200, 67,895.64 and 27,979.26

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Solution

The fourth proportional to 49,200, 67,895.64 and 27,979.26 is: 38,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200 : 67,895.64 = 27,979.26 : x
  2. Step 2: Convert to fraction form
    49,200/67,895.64 = 27,979.26/x
  3. Step 3: Cross multiply
    49,200x = 67,895.64 × 27,979.26
  4. Step 4: Simplify right side
    49,200x = 1,899,669,764.43
  5. Step 5: Solve for x
    x = 1,899,669,764.43/49,200
  6. Step 6: Final answer
    x = 38,611.17

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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.