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Finding the Fourth Proportional to 89,728, 123,827.20 and 49,986.56

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Solution

The fourth proportional to 89,728, 123,827.20 and 49,986.56 is: 68,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,728 : 123,827.20 = 49,986.56 : x
  2. Step 2: Convert to fraction form
    89,728/123,827.20 = 49,986.56/x
  3. Step 3: Cross multiply
    89,728x = 123,827.20 × 49,986.56
  4. Step 4: Simplify right side
    89,728x = 6,189,695,762.43
  5. Step 5: Solve for x
    x = 6,189,695,762.43/89,728
  6. Step 6: Final answer
    x = 68,982.88

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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.