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Finding the Fourth Proportional to 36,076.39, 49,785.28 and 20,160.84

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Solution

The fourth proportional to 36,076.39, 49,785.28 and 20,160.84 is: 27,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,076.39 : 49,785.28 = 20,160.84 : x
  2. Step 2: Convert to fraction form
    36,076.39/49,785.28 = 20,160.84/x
  3. Step 3: Cross multiply
    36,076.39x = 49,785.28 × 20,160.84
  4. Step 4: Simplify right side
    36,076.39x = 1,003,713,064.44
  5. Step 5: Solve for x
    x = 1,003,713,064.44/36,076.39
  6. Step 6: Final answer
    x = 27,821.88

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