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Finding the Fourth Proportional to 36,134.84, 49,867.14 and 20,218.92

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Solution

The fourth proportional to 36,134.84, 49,867.14 and 20,218.92 is: 27,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,134.84 : 49,867.14 = 20,218.92 : x
  2. Step 2: Convert to fraction form
    36,134.84/49,867.14 = 20,218.92/x
  3. Step 3: Cross multiply
    36,134.84x = 49,867.14 × 20,218.92
  4. Step 4: Simplify right side
    36,134.84x = 1,008,259,714.29
  5. Step 5: Solve for x
    x = 1,008,259,714.29/36,134.84
  6. Step 6: Final answer
    x = 27,902.70

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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.