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Finding the Fourth Proportional to 36,149.85, 49,886.77 and 20,234.29

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Solution

The fourth proportional to 36,149.85, 49,886.77 and 20,234.29 is: 27,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,149.85 : 49,886.77 = 20,234.29 : x
  2. Step 2: Convert to fraction form
    36,149.85/49,886.77 = 20,234.29/x
  3. Step 3: Cross multiply
    36,149.85x = 49,886.77 × 20,234.29
  4. Step 4: Simplify right side
    36,149.85x = 1,009,423,371.34
  5. Step 5: Solve for x
    x = 1,009,423,371.34/36,149.85
  6. Step 6: Final answer
    x = 27,923.31

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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.