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Finding the Fourth Proportional to 36,138.60, 49,870.08 and 20,222.64

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Solution

The fourth proportional to 36,138.60, 49,870.08 and 20,222.64 is: 27,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.60 : 49,870.08 = 20,222.64 : x
  2. Step 2: Convert to fraction form
    36,138.60/49,870.08 = 20,222.64/x
  3. Step 3: Cross multiply
    36,138.60x = 49,870.08 × 20,222.64
  4. Step 4: Simplify right side
    36,138.60x = 1,008,504,674.61
  5. Step 5: Solve for x
    x = 1,008,504,674.61/36,138.60
  6. Step 6: Final answer
    x = 27,906.58

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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.