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Finding the Fourth Proportional to 33,644.70, 50,472.54 and 11,455.80

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Solution

The fourth proportional to 33,644.70, 50,472.54 and 11,455.80 is: 17,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644.70 : 50,472.54 = 11,455.80 : x
  2. Step 2: Convert to fraction form
    33,644.70/50,472.54 = 11,455.80/x
  3. Step 3: Cross multiply
    33,644.70x = 50,472.54 × 11,455.80
  4. Step 4: Simplify right side
    33,644.70x = 578,203,323.73
  5. Step 5: Solve for x
    x = 578,203,323.73/33,644.70
  6. Step 6: Final answer
    x = 17,185.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.