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Finding the Fourth Proportional to 50,229.28, 69,322.32 and 27,874.72

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Solution

The fourth proportional to 50,229.28, 69,322.32 and 27,874.72 is: 38,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,229.28 : 69,322.32 = 27,874.72 : x
  2. Step 2: Convert to fraction form
    50,229.28/69,322.32 = 27,874.72/x
  3. Step 3: Cross multiply
    50,229.28x = 69,322.32 × 27,874.72
  4. Step 4: Simplify right side
    50,229.28x = 1,932,340,259.75
  5. Step 5: Solve for x
    x = 1,932,340,259.75/50,229.28
  6. Step 6: Final answer
    x = 38,470.40

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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.