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Finding the Fourth Proportional to 82,095.45, 122,964.96 and 50,409.33

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Solution

The fourth proportional to 82,095.45, 122,964.96 and 50,409.33 is: 75,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,095.45 : 122,964.96 = 50,409.33 : x
  2. Step 2: Convert to fraction form
    82,095.45/122,964.96 = 50,409.33/x
  3. Step 3: Cross multiply
    82,095.45x = 122,964.96 × 50,409.33
  4. Step 4: Simplify right side
    82,095.45x = 6,198,581,247.08
  5. Step 5: Solve for x
    x = 6,198,581,247.08/82,095.45
  6. Step 6: Final answer
    x = 75,504.57

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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.