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Finding the Fourth Proportional to 50,228.50, 69,318.57 and 27,872.50

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Solution

The fourth proportional to 50,228.50, 69,318.57 and 27,872.50 is: 38,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,228.50 : 69,318.57 = 27,872.50 : x
  2. Step 2: Convert to fraction form
    50,228.50/69,318.57 = 27,872.50/x
  3. Step 3: Cross multiply
    50,228.50x = 69,318.57 × 27,872.50
  4. Step 4: Simplify right side
    50,228.50x = 1,932,081,842.33
  5. Step 5: Solve for x
    x = 1,932,081,842.33/50,228.50
  6. Step 6: Final answer
    x = 38,465.85

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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.