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Finding the Fourth Proportional to 29,692.56, 44,550.36 and 11,226

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Solution

The fourth proportional to 29,692.56, 44,550.36 and 11,226 is: 16,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.56 : 44,550.36 = 11,226 : x
  2. Step 2: Convert to fraction form
    29,692.56/44,550.36 = 11,226/x
  3. Step 3: Cross multiply
    29,692.56x = 44,550.36 × 11,226
  4. Step 4: Simplify right side
    29,692.56x = 500,122,341.36
  5. Step 5: Solve for x
    x = 500,122,341.36/29,692.56
  6. Step 6: Final answer
    x = 16,843.36

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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.