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Finding the Fourth Proportional to 76,747.20, 105,911.04 and 43,213.44

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Solution

The fourth proportional to 76,747.20, 105,911.04 and 43,213.44 is: 59,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,747.20 : 105,911.04 = 43,213.44 : x
  2. Step 2: Convert to fraction form
    76,747.20/105,911.04 = 43,213.44/x
  3. Step 3: Cross multiply
    76,747.20x = 105,911.04 × 43,213.44
  4. Step 4: Simplify right side
    76,747.20x = 4,576,780,372.38
  5. Step 5: Solve for x
    x = 4,576,780,372.38/76,747.20
  6. Step 6: Final answer
    x = 59,634.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.