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Finding the Fourth Proportional to 29,135, 43,702.62 and 10,667

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Solution

The fourth proportional to 29,135, 43,702.62 and 10,667 is: 16,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,135 : 43,702.62 = 10,667 : x
  2. Step 2: Convert to fraction form
    29,135/43,702.62 = 10,667/x
  3. Step 3: Cross multiply
    29,135x = 43,702.62 × 10,667
  4. Step 4: Simplify right side
    29,135x = 466,175,847.54
  5. Step 5: Solve for x
    x = 466,175,847.54/29,135
  6. Step 6: Final answer
    x = 16,000.54

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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.