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Finding the Fourth Proportional to 29,692.22, 44,542.42 and 9,976.41

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Solution

The fourth proportional to 29,692.22, 44,542.42 and 9,976.41 is: 14,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.22 : 44,542.42 = 9,976.41 : x
  2. Step 2: Convert to fraction form
    29,692.22/44,542.42 = 9,976.41/x
  3. Step 3: Cross multiply
    29,692.22x = 44,542.42 × 9,976.41
  4. Step 4: Simplify right side
    29,692.22x = 444,373,444.31
  5. Step 5: Solve for x
    x = 444,373,444.31/29,692.22
  6. Step 6: Final answer
    x = 14,965.99

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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.