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Finding the Fourth Proportional to 73,951.08, 110,912.41 and 31,838.37

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Solution

The fourth proportional to 73,951.08, 110,912.41 and 31,838.37 is: 47,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,951.08 : 110,912.41 = 31,838.37 : x
  2. Step 2: Convert to fraction form
    73,951.08/110,912.41 = 31,838.37/x
  3. Step 3: Cross multiply
    73,951.08x = 110,912.41 × 31,838.37
  4. Step 4: Simplify right side
    73,951.08x = 3,531,270,347.17
  5. Step 5: Solve for x
    x = 3,531,270,347.17/73,951.08
  6. Step 6: Final answer
    x = 47,751.44

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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.