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Finding the Fourth Proportional to 84,093.38, 116,049.21 and 50,559.94

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Solution

The fourth proportional to 84,093.38, 116,049.21 and 50,559.94 is: 69,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,093.38 : 116,049.21 = 50,559.94 : x
  2. Step 2: Convert to fraction form
    84,093.38/116,049.21 = 50,559.94/x
  3. Step 3: Cross multiply
    84,093.38x = 116,049.21 × 50,559.94
  4. Step 4: Simplify right side
    84,093.38x = 5,867,441,094.65
  5. Step 5: Solve for x
    x = 5,867,441,094.65/84,093.38
  6. Step 6: Final answer
    x = 69,772.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.