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Finding the Fourth Proportional to 29,234.80, 43,900.80 and 16,096.60

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Solution

The fourth proportional to 29,234.80, 43,900.80 and 16,096.60 is: 24,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,234.80 : 43,900.80 = 16,096.60 : x
  2. Step 2: Convert to fraction form
    29,234.80/43,900.80 = 16,096.60/x
  3. Step 3: Cross multiply
    29,234.80x = 43,900.80 × 16,096.60
  4. Step 4: Simplify right side
    29,234.80x = 706,653,617.28
  5. Step 5: Solve for x
    x = 706,653,617.28/29,234.80
  6. Step 6: Final answer
    x = 24,171.66

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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.