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Finding the Fourth Proportional to 33,644.40, 50,393.64 and 24,390

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Solution

The fourth proportional to 33,644.40, 50,393.64 and 24,390 is: 36,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644.40 : 50,393.64 = 24,390 : x
  2. Step 2: Convert to fraction form
    33,644.40/50,393.64 = 24,390/x
  3. Step 3: Cross multiply
    33,644.40x = 50,393.64 × 24,390
  4. Step 4: Simplify right side
    33,644.40x = 1,229,100,879.60
  5. Step 5: Solve for x
    x = 1,229,100,879.60/33,644.40
  6. Step 6: Final answer
    x = 36,532.11

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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.