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Finding the Fourth Proportional to 71,180.36, 106,704.50 and 33,757.94

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Solution

The fourth proportional to 71,180.36, 106,704.50 and 33,757.94 is: 50,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,180.36 : 106,704.50 = 33,757.94 : x
  2. Step 2: Convert to fraction form
    71,180.36/106,704.50 = 33,757.94/x
  3. Step 3: Cross multiply
    71,180.36x = 106,704.50 × 33,757.94
  4. Step 4: Simplify right side
    71,180.36x = 3,602,124,108.73
  5. Step 5: Solve for x
    x = 3,602,124,108.73/71,180.36
  6. Step 6: Final answer
    x = 50,605.59

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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.