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Finding the Fourth Proportional to 106,573.97, 159,857.38 and 31,694.58

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Solution

The fourth proportional to 106,573.97, 159,857.38 and 31,694.58 is: 47,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,573.97 : 159,857.38 = 31,694.58 : x
  2. Step 2: Convert to fraction form
    106,573.97/159,857.38 = 31,694.58/x
  3. Step 3: Cross multiply
    106,573.97x = 159,857.38 × 31,694.58
  4. Step 4: Simplify right side
    106,573.97x = 5,066,612,519.00
  5. Step 5: Solve for x
    x = 5,066,612,519.00/106,573.97
  6. Step 6: Final answer
    x = 47,540.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.