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Finding the Fourth Proportional to 49,961.43, 68,946.78 and 27,605.43

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Solution

The fourth proportional to 49,961.43, 68,946.78 and 27,605.43 is: 38,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,961.43 : 68,946.78 = 27,605.43 : x
  2. Step 2: Convert to fraction form
    49,961.43/68,946.78 = 27,605.43/x
  3. Step 3: Cross multiply
    49,961.43x = 68,946.78 × 27,605.43
  4. Step 4: Simplify right side
    49,961.43x = 1,903,305,509.02
  5. Step 5: Solve for x
    x = 1,903,305,509.02/49,961.43
  6. Step 6: Final answer
    x = 38,095.50

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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.