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Finding the Fourth Proportional to 73,920.78, 110,836.62 and 31,175.22

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Solution

The fourth proportional to 73,920.78, 110,836.62 and 31,175.22 is: 46,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920.78 : 110,836.62 = 31,175.22 : x
  2. Step 2: Convert to fraction form
    73,920.78/110,836.62 = 31,175.22/x
  3. Step 3: Cross multiply
    73,920.78x = 110,836.62 × 31,175.22
  4. Step 4: Simplify right side
    73,920.78x = 3,455,356,012.56
  5. Step 5: Solve for x
    x = 3,455,356,012.56/73,920.78
  6. Step 6: Final answer
    x = 46,744.04

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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.