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Finding the Fourth Proportional to 101,744.82, 152,469.27 and 49,092.66

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Solution

The fourth proportional to 101,744.82, 152,469.27 and 49,092.66 is: 73,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,744.82 : 152,469.27 = 49,092.66 : x
  2. Step 2: Convert to fraction form
    101,744.82/152,469.27 = 49,092.66/x
  3. Step 3: Cross multiply
    101,744.82x = 152,469.27 × 49,092.66
  4. Step 4: Simplify right side
    101,744.82x = 7,485,122,032.56
  5. Step 5: Solve for x
    x = 7,485,122,032.56/101,744.82
  6. Step 6: Final answer
    x = 73,567.60

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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.