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Finding the Fourth Proportional to 32,692.82, 48,965.11 and 31,954.70

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Solution

The fourth proportional to 32,692.82, 48,965.11 and 31,954.70 is: 47,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692.82 : 48,965.11 = 31,954.70 : x
  2. Step 2: Convert to fraction form
    32,692.82/48,965.11 = 31,954.70/x
  3. Step 3: Cross multiply
    32,692.82x = 48,965.11 × 31,954.70
  4. Step 4: Simplify right side
    32,692.82x = 1,564,665,443.04
  5. Step 5: Solve for x
    x = 1,564,665,443.04/32,692.82
  6. Step 6: Final answer
    x = 47,859.61

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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.