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Finding the Fourth Proportional to 36,117.64, 49,844.22 and 20,201.20

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Solution

The fourth proportional to 36,117.64, 49,844.22 and 20,201.20 is: 27,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,117.64 : 49,844.22 = 20,201.20 : x
  2. Step 2: Convert to fraction form
    36,117.64/49,844.22 = 20,201.20/x
  3. Step 3: Cross multiply
    36,117.64x = 49,844.22 × 20,201.20
  4. Step 4: Simplify right side
    36,117.64x = 1,006,913,057.06
  5. Step 5: Solve for x
    x = 1,006,913,057.06/36,117.64
  6. Step 6: Final answer
    x = 27,878.71

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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.