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Finding the Fourth Proportional to 36,194.74, 49,881.09 and 28,224.34

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Solution

The fourth proportional to 36,194.74, 49,881.09 and 28,224.34 is: 38,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,194.74 : 49,881.09 = 28,224.34 : x
  2. Step 2: Convert to fraction form
    36,194.74/49,881.09 = 28,224.34/x
  3. Step 3: Cross multiply
    36,194.74x = 49,881.09 × 28,224.34
  4. Step 4: Simplify right side
    36,194.74x = 1,407,860,843.73
  5. Step 5: Solve for x
    x = 1,407,860,843.73/36,194.74
  6. Step 6: Final answer
    x = 38,896.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.