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Finding the Fourth Proportional to 36,104.49, 49,828.84 and 20,189.81

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Solution

The fourth proportional to 36,104.49, 49,828.84 and 20,189.81 is: 27,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,104.49 : 49,828.84 = 20,189.81 : x
  2. Step 2: Convert to fraction form
    36,104.49/49,828.84 = 20,189.81/x
  3. Step 3: Cross multiply
    36,104.49x = 49,828.84 × 20,189.81
  4. Step 4: Simplify right side
    36,104.49x = 1,006,034,886.22
  5. Step 5: Solve for x
    x = 1,006,034,886.22/36,104.49
  6. Step 6: Final answer
    x = 27,864.54

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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.