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Finding the Fourth Proportional to 36,812, 50,796.50 and 20,896.58

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Solution

The fourth proportional to 36,812, 50,796.50 and 20,896.58 is: 28,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,812 : 50,796.50 = 20,896.58 : x
  2. Step 2: Convert to fraction form
    36,812/50,796.50 = 20,896.58/x
  3. Step 3: Cross multiply
    36,812x = 50,796.50 × 20,896.58
  4. Step 4: Simplify right side
    36,812x = 1,061,473,125.97
  5. Step 5: Solve for x
    x = 1,061,473,125.97/36,812
  6. Step 6: Final answer
    x = 28,834.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.