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Finding the Fourth Proportional to 50,228.38, 69,324.72 and 33,232.96

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Solution

The fourth proportional to 50,228.38, 69,324.72 and 33,232.96 is: 45,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,228.38 : 69,324.72 = 33,232.96 : x
  2. Step 2: Convert to fraction form
    50,228.38/69,324.72 = 33,232.96/x
  3. Step 3: Cross multiply
    50,228.38x = 69,324.72 × 33,232.96
  4. Step 4: Simplify right side
    50,228.38x = 2,303,865,646.77
  5. Step 5: Solve for x
    x = 2,303,865,646.77/50,228.38
  6. Step 6: Final answer
    x = 45,867.81

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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.