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Finding the Fourth Proportional to 50,540.40, 69,744.24 and 28,184.40

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Solution

The fourth proportional to 50,540.40, 69,744.24 and 28,184.40 is: 38,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.40 : 69,744.24 = 28,184.40 : x
  2. Step 2: Convert to fraction form
    50,540.40/69,744.24 = 28,184.40/x
  3. Step 3: Cross multiply
    50,540.40x = 69,744.24 × 28,184.40
  4. Step 4: Simplify right side
    50,540.40x = 1,965,699,557.86
  5. Step 5: Solve for x
    x = 1,965,699,557.86/50,540.40
  6. Step 6: Final answer
    x = 38,893.63

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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.