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Finding the Fourth Proportional to 73,175.46, 109,760.67 and 31,028.37

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Solution

The fourth proportional to 73,175.46, 109,760.67 and 31,028.37 is: 46,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,175.46 : 109,760.67 = 31,028.37 : x
  2. Step 2: Convert to fraction form
    73,175.46/109,760.67 = 31,028.37/x
  3. Step 3: Cross multiply
    73,175.46x = 109,760.67 × 31,028.37
  4. Step 4: Simplify right side
    73,175.46x = 3,405,694,680.21
  5. Step 5: Solve for x
    x = 3,405,694,680.21/73,175.46
  6. Step 6: Final answer
    x = 46,541.49

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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.