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Finding the Fourth Proportional to 82,411.44, 123,616.22 and 20,081.94

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Solution

The fourth proportional to 82,411.44, 123,616.22 and 20,081.94 is: 30,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,411.44 : 123,616.22 = 20,081.94 : x
  2. Step 2: Convert to fraction form
    82,411.44/123,616.22 = 20,081.94/x
  3. Step 3: Cross multiply
    82,411.44x = 123,616.22 × 20,081.94
  4. Step 4: Simplify right side
    82,411.44x = 2,482,453,412.66
  5. Step 5: Solve for x
    x = 2,482,453,412.66/82,411.44
  6. Step 6: Final answer
    x = 30,122.68

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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.