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Finding the Fourth Proportional to 36,170.24, 49,912.52 and 20,252

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Solution

The fourth proportional to 36,170.24, 49,912.52 and 20,252 is: 27,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,170.24 : 49,912.52 = 20,252 : x
  2. Step 2: Convert to fraction form
    36,170.24/49,912.52 = 20,252/x
  3. Step 3: Cross multiply
    36,170.24x = 49,912.52 × 20,252
  4. Step 4: Simplify right side
    36,170.24x = 1,010,828,355.04
  5. Step 5: Solve for x
    x = 1,010,828,355.04/36,170.24
  6. Step 6: Final answer
    x = 27,946.41

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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.