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Finding the Fourth Proportional to 36,142.74, 49,876.98 and 20,227.20

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Solution

The fourth proportional to 36,142.74, 49,876.98 and 20,227.20 is: 27,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.74 : 49,876.98 = 20,227.20 : x
  2. Step 2: Convert to fraction form
    36,142.74/49,876.98 = 20,227.20/x
  3. Step 3: Cross multiply
    36,142.74x = 49,876.98 × 20,227.20
  4. Step 4: Simplify right side
    36,142.74x = 1,008,871,649.86
  5. Step 5: Solve for x
    x = 1,008,871,649.86/36,142.74
  6. Step 6: Final answer
    x = 27,913.54

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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.