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Finding the Fourth Proportional to 82,625.33, 123,919.27 and 40,463.21

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Solution

The fourth proportional to 82,625.33, 123,919.27 and 40,463.21 is: 60,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,625.33 : 123,919.27 = 40,463.21 : x
  2. Step 2: Convert to fraction form
    82,625.33/123,919.27 = 40,463.21/x
  3. Step 3: Cross multiply
    82,625.33x = 123,919.27 × 40,463.21
  4. Step 4: Simplify right side
    82,625.33x = 5,014,171,653.70
  5. Step 5: Solve for x
    x = 5,014,171,653.70/82,625.33
  6. Step 6: Final answer
    x = 60,685.65

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Why These Related Problems?

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