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Finding the Fourth Proportional to 36,076.56, 49,782.32 and 20,158.80

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Solution

The fourth proportional to 36,076.56, 49,782.32 and 20,158.80 is: 27,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,076.56 : 49,782.32 = 20,158.80 : x
  2. Step 2: Convert to fraction form
    36,076.56/49,782.32 = 20,158.80/x
  3. Step 3: Cross multiply
    36,076.56x = 49,782.32 × 20,158.80
  4. Step 4: Simplify right side
    36,076.56x = 1,003,551,832.42
  5. Step 5: Solve for x
    x = 1,003,551,832.42/36,076.56
  6. Step 6: Final answer
    x = 27,817.28

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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.