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Finding the Fourth Proportional to 29,692.88, 40,966 and 16,936.90

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Solution

The fourth proportional to 29,692.88, 40,966 and 16,936.90 is: 23,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.88 : 40,966 = 16,936.90 : x
  2. Step 2: Convert to fraction form
    29,692.88/40,966 = 16,936.90/x
  3. Step 3: Cross multiply
    29,692.88x = 40,966 × 16,936.90
  4. Step 4: Simplify right side
    29,692.88x = 693,837,045.40
  5. Step 5: Solve for x
    x = 693,837,045.40/29,692.88
  6. Step 6: Final answer
    x = 23,367.12

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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.