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Finding the Fourth Proportional to 73,839.30, 110,698.20 and 31,751.70

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Solution

The fourth proportional to 73,839.30, 110,698.20 and 31,751.70 is: 47,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,839.30 : 110,698.20 = 31,751.70 : x
  2. Step 2: Convert to fraction form
    73,839.30/110,698.20 = 31,751.70/x
  3. Step 3: Cross multiply
    73,839.30x = 110,698.20 × 31,751.70
  4. Step 4: Simplify right side
    73,839.30x = 3,514,856,036.94
  5. Step 5: Solve for x
    x = 3,514,856,036.94/73,839.30
  6. Step 6: Final answer
    x = 47,601.43

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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.