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Finding the Fourth Proportional to 47,796.20, 71,708.70 and 33,972.20

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Solution

The fourth proportional to 47,796.20, 71,708.70 and 33,972.20 is: 50,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796.20 : 71,708.70 = 33,972.20 : x
  2. Step 2: Convert to fraction form
    47,796.20/71,708.70 = 33,972.20/x
  3. Step 3: Cross multiply
    47,796.20x = 71,708.70 × 33,972.20
  4. Step 4: Simplify right side
    47,796.20x = 2,436,102,298.14
  5. Step 5: Solve for x
    x = 2,436,102,298.14/47,796.20
  6. Step 6: Final answer
    x = 50,968.54

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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.