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Finding the Fourth Proportional to 36,114.56, 49,840.39 and 20,199.12

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Solution

The fourth proportional to 36,114.56, 49,840.39 and 20,199.12 is: 27,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,114.56 : 49,840.39 = 20,199.12 : x
  2. Step 2: Convert to fraction form
    36,114.56/49,840.39 = 20,199.12/x
  3. Step 3: Cross multiply
    36,114.56x = 49,840.39 × 20,199.12
  4. Step 4: Simplify right side
    36,114.56x = 1,006,732,018.46
  5. Step 5: Solve for x
    x = 1,006,732,018.46/36,114.56
  6. Step 6: Final answer
    x = 27,876.07

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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.