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Finding the Fourth Proportional to 76,229.80, 114,270.90 and 34,086.04

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Solution

The fourth proportional to 76,229.80, 114,270.90 and 34,086.04 is: 51,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,229.80 : 114,270.90 = 34,086.04 : x
  2. Step 2: Convert to fraction form
    76,229.80/114,270.90 = 34,086.04/x
  3. Step 3: Cross multiply
    76,229.80x = 114,270.90 × 34,086.04
  4. Step 4: Simplify right side
    76,229.80x = 3,895,042,468.24
  5. Step 5: Solve for x
    x = 3,895,042,468.24/76,229.80
  6. Step 6: Final answer
    x = 51,096.06

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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.