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Finding the Fourth Proportional to 73,467.78, 110,243.19 and 31,343.90

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Solution

The fourth proportional to 73,467.78, 110,243.19 and 31,343.90 is: 47,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,467.78 : 110,243.19 = 31,343.90 : x
  2. Step 2: Convert to fraction form
    73,467.78/110,243.19 = 31,343.90/x
  3. Step 3: Cross multiply
    73,467.78x = 110,243.19 × 31,343.90
  4. Step 4: Simplify right side
    73,467.78x = 3,455,451,089.36
  5. Step 5: Solve for x
    x = 3,455,451,089.36/73,467.78
  6. Step 6: Final answer
    x = 47,033.56

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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.