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Finding the Fourth Proportional to 50,393.44, 69,540.24 and 28,036

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Solution

The fourth proportional to 50,393.44, 69,540.24 and 28,036 is: 38,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,393.44 : 69,540.24 = 28,036 : x
  2. Step 2: Convert to fraction form
    50,393.44/69,540.24 = 28,036/x
  3. Step 3: Cross multiply
    50,393.44x = 69,540.24 × 28,036
  4. Step 4: Simplify right side
    50,393.44x = 1,949,630,168.64
  5. Step 5: Solve for x
    x = 1,949,630,168.64/50,393.44
  6. Step 6: Final answer
    x = 38,688.17

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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.