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Finding the Fourth Proportional to 29,692.30, 44,542.54 and 9,976.49

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Solution

The fourth proportional to 29,692.30, 44,542.54 and 9,976.49 is: 14,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.30 : 44,542.54 = 9,976.49 : x
  2. Step 2: Convert to fraction form
    29,692.30/44,542.54 = 9,976.49/x
  3. Step 3: Cross multiply
    29,692.30x = 44,542.54 × 9,976.49
  4. Step 4: Simplify right side
    29,692.30x = 444,378,204.88
  5. Step 5: Solve for x
    x = 444,378,204.88/29,692.30
  6. Step 6: Final answer
    x = 14,966.11

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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.