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Finding the Fourth Proportional to 47,786.88, 65,940.84 and 27,640.56

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Solution

The fourth proportional to 47,786.88, 65,940.84 and 27,640.56 is: 38,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,786.88 : 65,940.84 = 27,640.56 : x
  2. Step 2: Convert to fraction form
    47,786.88/65,940.84 = 27,640.56/x
  3. Step 3: Cross multiply
    47,786.88x = 65,940.84 × 27,640.56
  4. Step 4: Simplify right side
    47,786.88x = 1,822,641,744.47
  5. Step 5: Solve for x
    x = 1,822,641,744.47/47,786.88
  6. Step 6: Final answer
    x = 38,141.05

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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.