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Finding the Fourth Proportional to 73,692.86, 110,446.80 and 31,523.36

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Solution

The fourth proportional to 73,692.86, 110,446.80 and 31,523.36 is: 47,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,692.86 : 110,446.80 = 31,523.36 : x
  2. Step 2: Convert to fraction form
    73,692.86/110,446.80 = 31,523.36/x
  3. Step 3: Cross multiply
    73,692.86x = 110,446.80 × 31,523.36
  4. Step 4: Simplify right side
    73,692.86x = 3,481,654,237.25
  5. Step 5: Solve for x
    x = 3,481,654,237.25/73,692.86
  6. Step 6: Final answer
    x = 47,245.48

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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.