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Finding the Fourth Proportional to 49,033.40, 67,664.09 and 27,812.21

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Solution

The fourth proportional to 49,033.40, 67,664.09 and 27,812.21 is: 38,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,033.40 : 67,664.09 = 27,812.21 : x
  2. Step 2: Convert to fraction form
    49,033.40/67,664.09 = 27,812.21/x
  3. Step 3: Cross multiply
    49,033.40x = 67,664.09 × 27,812.21
  4. Step 4: Simplify right side
    49,033.40x = 1,881,887,611.75
  5. Step 5: Solve for x
    x = 1,881,887,611.75/49,033.40
  6. Step 6: Final answer
    x = 38,379.71

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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.