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Finding the Fourth Proportional to 36,104.37, 49,828.67 and 20,189.71

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Solution

The fourth proportional to 36,104.37, 49,828.67 and 20,189.71 is: 27,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,104.37 : 49,828.67 = 20,189.71 : x
  2. Step 2: Convert to fraction form
    36,104.37/49,828.67 = 20,189.71/x
  3. Step 3: Cross multiply
    36,104.37x = 49,828.67 × 20,189.71
  4. Step 4: Simplify right side
    36,104.37x = 1,006,026,396.99
  5. Step 5: Solve for x
    x = 1,006,026,396.99/36,104.37
  6. Step 6: Final answer
    x = 27,864.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.