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Finding the Fourth Proportional to 29,728, 44,584.64 and 8,667.44

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Solution

The fourth proportional to 29,728, 44,584.64 and 8,667.44 is: 12,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,728 : 44,584.64 = 8,667.44 : x
  2. Step 2: Convert to fraction form
    29,728/44,584.64 = 8,667.44/x
  3. Step 3: Cross multiply
    29,728x = 44,584.64 × 8,667.44
  4. Step 4: Simplify right side
    29,728x = 386,434,692.12
  5. Step 5: Solve for x
    x = 386,434,692.12/29,728
  6. Step 6: Final answer
    x = 12,999.01

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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.