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Finding the Fourth Proportional to 36,104.16, 49,824 and 20,189.52

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Solution

The fourth proportional to 36,104.16, 49,824 and 20,189.52 is: 27,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,104.16 : 49,824 = 20,189.52 : x
  2. Step 2: Convert to fraction form
    36,104.16/49,824 = 20,189.52/x
  3. Step 3: Cross multiply
    36,104.16x = 49,824 × 20,189.52
  4. Step 4: Simplify right side
    36,104.16x = 1,005,922,644.48
  5. Step 5: Solve for x
    x = 1,005,922,644.48/36,104.16
  6. Step 6: Final answer
    x = 27,861.68

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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.