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Finding the Fourth Proportional to 82,637, 123,906.20 and 32,724.26

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Solution

The fourth proportional to 82,637, 123,906.20 and 32,724.26 is: 49,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,637 : 123,906.20 = 32,724.26 : x
  2. Step 2: Convert to fraction form
    82,637/123,906.20 = 32,724.26/x
  3. Step 3: Cross multiply
    82,637x = 123,906.20 × 32,724.26
  4. Step 4: Simplify right side
    82,637x = 4,054,738,704.41
  5. Step 5: Solve for x
    x = 4,054,738,704.41/82,637
  6. Step 6: Final answer
    x = 49,066.87

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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.