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Finding the Fourth Proportional to 50,252.44, 69,345.66 and 27,895

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Solution

The fourth proportional to 50,252.44, 69,345.66 and 27,895 is: 38,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,252.44 : 69,345.66 = 27,895 : x
  2. Step 2: Convert to fraction form
    50,252.44/69,345.66 = 27,895/x
  3. Step 3: Cross multiply
    50,252.44x = 69,345.66 × 27,895
  4. Step 4: Simplify right side
    50,252.44x = 1,934,397,185.70
  5. Step 5: Solve for x
    x = 1,934,397,185.70/50,252.44
  6. Step 6: Final answer
    x = 38,493.60

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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.