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Finding the Fourth Proportional to 122,467.82, 183,614.79 and 47,524.73

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Solution

The fourth proportional to 122,467.82, 183,614.79 and 47,524.73 is: 71,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,467.82 : 183,614.79 = 47,524.73 : x
  2. Step 2: Convert to fraction form
    122,467.82/183,614.79 = 47,524.73/x
  3. Step 3: Cross multiply
    122,467.82x = 183,614.79 × 47,524.73
  4. Step 4: Simplify right side
    122,467.82x = 8,726,243,318.76
  5. Step 5: Solve for x
    x = 8,726,243,318.76/122,467.82
  6. Step 6: Final answer
    x = 71,253.36

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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.