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Finding the Fourth Proportional to 122,503.48, 183,738.46 and 33,744.22

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Solution

The fourth proportional to 122,503.48, 183,738.46 and 33,744.22 is: 50,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,503.48 : 183,738.46 = 33,744.22 : x
  2. Step 2: Convert to fraction form
    122,503.48/183,738.46 = 33,744.22/x
  3. Step 3: Cross multiply
    122,503.48x = 183,738.46 × 33,744.22
  4. Step 4: Simplify right side
    122,503.48x = 6,200,111,016.70
  5. Step 5: Solve for x
    x = 6,200,111,016.70/122,503.48
  6. Step 6: Final answer
    x = 50,611.71

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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.