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Finding the Fourth Proportional to 50,359.44, 69,493.32 and 28,002

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Solution

The fourth proportional to 50,359.44, 69,493.32 and 28,002 is: 38,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,359.44 : 69,493.32 = 28,002 : x
  2. Step 2: Convert to fraction form
    50,359.44/69,493.32 = 28,002/x
  3. Step 3: Cross multiply
    50,359.44x = 69,493.32 × 28,002
  4. Step 4: Simplify right side
    50,359.44x = 1,945,951,946.64
  5. Step 5: Solve for x
    x = 1,945,951,946.64/50,359.44
  6. Step 6: Final answer
    x = 38,641.25

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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.