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Finding the Fourth Proportional to 36,106.56, 49,822.56 and 20,188.44

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Solution

The fourth proportional to 36,106.56, 49,822.56 and 20,188.44 is: 27,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106.56 : 49,822.56 = 20,188.44 : x
  2. Step 2: Convert to fraction form
    36,106.56/49,822.56 = 20,188.44/x
  3. Step 3: Cross multiply
    36,106.56x = 49,822.56 × 20,188.44
  4. Step 4: Simplify right side
    36,106.56x = 1,005,839,763.21
  5. Step 5: Solve for x
    x = 1,005,839,763.21/36,106.56
  6. Step 6: Final answer
    x = 27,857.54

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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.