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Finding the Fourth Proportional to 29,138.45, 43,706.54 and 8,361.95

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Solution

The fourth proportional to 29,138.45, 43,706.54 and 8,361.95 is: 12,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.45 : 43,706.54 = 8,361.95 : x
  2. Step 2: Convert to fraction form
    29,138.45/43,706.54 = 8,361.95/x
  3. Step 3: Cross multiply
    29,138.45x = 43,706.54 × 8,361.95
  4. Step 4: Simplify right side
    29,138.45x = 365,471,683.62
  5. Step 5: Solve for x
    x = 365,471,683.62/29,138.45
  6. Step 6: Final answer
    x = 12,542.59

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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.