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Finding the Fourth Proportional to 29,138.62, 43,714.42 and 8,360.50

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Solution

The fourth proportional to 29,138.62, 43,714.42 and 8,360.50 is: 12,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.62 : 43,714.42 = 8,360.50 : x
  2. Step 2: Convert to fraction form
    29,138.62/43,714.42 = 8,360.50/x
  3. Step 3: Cross multiply
    29,138.62x = 43,714.42 × 8,360.50
  4. Step 4: Simplify right side
    29,138.62x = 365,474,408.41
  5. Step 5: Solve for x
    x = 365,474,408.41/29,138.62
  6. Step 6: Final answer
    x = 12,542.61

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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.