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Finding the Fourth Proportional to 29,692.50, 40,974.45 and 17,762.43

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Solution

The fourth proportional to 29,692.50, 40,974.45 and 17,762.43 is: 24,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.50 : 40,974.45 = 17,762.43 : x
  2. Step 2: Convert to fraction form
    29,692.50/40,974.45 = 17,762.43/x
  3. Step 3: Cross multiply
    29,692.50x = 40,974.45 × 17,762.43
  4. Step 4: Simplify right side
    29,692.50x = 727,805,799.91
  5. Step 5: Solve for x
    x = 727,805,799.91/29,692.50
  6. Step 6: Final answer
    x = 24,511.44

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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.