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Finding the Fourth Proportional to 36,117.84, 49,843.68 and 20,201.92

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Solution

The fourth proportional to 36,117.84, 49,843.68 and 20,201.92 is: 27,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,117.84 : 49,843.68 = 20,201.92 : x
  2. Step 2: Convert to fraction form
    36,117.84/49,843.68 = 20,201.92/x
  3. Step 3: Cross multiply
    36,117.84x = 49,843.68 × 20,201.92
  4. Step 4: Simplify right side
    36,117.84x = 1,006,938,035.87
  5. Step 5: Solve for x
    x = 1,006,938,035.87/36,117.84
  6. Step 6: Final answer
    x = 27,879.24

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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.