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Finding the Fourth Proportional to 47,230.62, 70,764.12 and 33,163.89

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Solution

The fourth proportional to 47,230.62, 70,764.12 and 33,163.89 is: 49,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,230.62 : 70,764.12 = 33,163.89 : x
  2. Step 2: Convert to fraction form
    47,230.62/70,764.12 = 33,163.89/x
  3. Step 3: Cross multiply
    47,230.62x = 70,764.12 × 33,163.89
  4. Step 4: Simplify right side
    47,230.62x = 2,346,813,491.63
  5. Step 5: Solve for x
    x = 2,346,813,491.63/47,230.62
  6. Step 6: Final answer
    x = 49,688.39

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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.