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Finding the Fourth Proportional to 82,685.01, 114,105.06 and 50,419.65

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Solution

The fourth proportional to 82,685.01, 114,105.06 and 50,419.65 is: 69,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,685.01 : 114,105.06 = 50,419.65 : x
  2. Step 2: Convert to fraction form
    82,685.01/114,105.06 = 50,419.65/x
  3. Step 3: Cross multiply
    82,685.01x = 114,105.06 × 50,419.65
  4. Step 4: Simplify right side
    82,685.01x = 5,753,137,188.43
  5. Step 5: Solve for x
    x = 5,753,137,188.43/82,685.01
  6. Step 6: Final answer
    x = 69,578.96

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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.