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Finding the Fourth Proportional to 31,692.56, 47,536.34 and 8,318.38

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Solution

The fourth proportional to 31,692.56, 47,536.34 and 8,318.38 is: 12,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.56 : 47,536.34 = 8,318.38 : x
  2. Step 2: Convert to fraction form
    31,692.56/47,536.34 = 8,318.38/x
  3. Step 3: Cross multiply
    31,692.56x = 47,536.34 × 8,318.38
  4. Step 4: Simplify right side
    31,692.56x = 395,425,339.93
  5. Step 5: Solve for x
    x = 395,425,339.93/31,692.56
  6. Step 6: Final answer
    x = 12,476.91

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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.