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Finding the Fourth Proportional to 29,692.38, 40,974.28 and 17,762.31

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Solution

The fourth proportional to 29,692.38, 40,974.28 and 17,762.31 is: 24,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.38 : 40,974.28 = 17,762.31 : x
  2. Step 2: Convert to fraction form
    29,692.38/40,974.28 = 17,762.31/x
  3. Step 3: Cross multiply
    29,692.38x = 40,974.28 × 17,762.31
  4. Step 4: Simplify right side
    29,692.38x = 727,797,863.39
  5. Step 5: Solve for x
    x = 727,797,863.39/29,692.38
  6. Step 6: Final answer
    x = 24,511.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.