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Finding the Fourth Proportional to 36,124.16, 49,849 and 20,205.88

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Solution

The fourth proportional to 36,124.16, 49,849 and 20,205.88 is: 27,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,124.16 : 49,849 = 20,205.88 : x
  2. Step 2: Convert to fraction form
    36,124.16/49,849 = 20,205.88/x
  3. Step 3: Cross multiply
    36,124.16x = 49,849 × 20,205.88
  4. Step 4: Simplify right side
    36,124.16x = 1,007,242,912.12
  5. Step 5: Solve for x
    x = 1,007,242,912.12/36,124.16
  6. Step 6: Final answer
    x = 27,882.81

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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.