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Finding the Fourth Proportional to 36,143.45, 49,876.00 and 20,224.82

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Solution

The fourth proportional to 36,143.45, 49,876.00 and 20,224.82 is: 27,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,143.45 : 49,876.00 = 20,224.82 : x
  2. Step 2: Convert to fraction form
    36,143.45/49,876.00 = 20,224.82/x
  3. Step 3: Cross multiply
    36,143.45x = 49,876.00 × 20,224.82
  4. Step 4: Simplify right side
    36,143.45x = 1,008,733,310.21
  5. Step 5: Solve for x
    x = 1,008,733,310.21/36,143.45
  6. Step 6: Final answer
    x = 27,909.16

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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.