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Finding the Fourth Proportional to 31,692.72, 47,503.44 and 11,957.88

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Solution

The fourth proportional to 31,692.72, 47,503.44 and 11,957.88 is: 17,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.72 : 47,503.44 = 11,957.88 : x
  2. Step 2: Convert to fraction form
    31,692.72/47,503.44 = 11,957.88/x
  3. Step 3: Cross multiply
    31,692.72x = 47,503.44 × 11,957.88
  4. Step 4: Simplify right side
    31,692.72x = 568,040,435.11
  5. Step 5: Solve for x
    x = 568,040,435.11/31,692.72
  6. Step 6: Final answer
    x = 17,923.37

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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.