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Finding the Fourth Proportional to 36,104.56, 49,823.43 and 20,190.49

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Solution

The fourth proportional to 36,104.56, 49,823.43 and 20,190.49 is: 27,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,104.56 : 49,823.43 = 20,190.49 : x
  2. Step 2: Convert to fraction form
    36,104.56/49,823.43 = 20,190.49/x
  3. Step 3: Cross multiply
    36,104.56x = 49,823.43 × 20,190.49
  4. Step 4: Simplify right side
    36,104.56x = 1,005,959,465.18
  5. Step 5: Solve for x
    x = 1,005,959,465.18/36,104.56
  6. Step 6: Final answer
    x = 27,862.39

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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.