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Finding the Fourth Proportional to 82,641, 123,912.20 and 32,728.26

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Solution

The fourth proportional to 82,641, 123,912.20 and 32,728.26 is: 49,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,641 : 123,912.20 = 32,728.26 : x
  2. Step 2: Convert to fraction form
    82,641/123,912.20 = 32,728.26/x
  3. Step 3: Cross multiply
    82,641x = 123,912.20 × 32,728.26
  4. Step 4: Simplify right side
    82,641x = 4,055,430,698.77
  5. Step 5: Solve for x
    x = 4,055,430,698.77/82,641
  6. Step 6: Final answer
    x = 49,072.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.