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Finding the Fourth Proportional to 50,468.57, 69,647.44 and 27,807.24

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Solution

The fourth proportional to 50,468.57, 69,647.44 and 27,807.24 is: 38,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,468.57 : 69,647.44 = 27,807.24 : x
  2. Step 2: Convert to fraction form
    50,468.57/69,647.44 = 27,807.24/x
  3. Step 3: Cross multiply
    50,468.57x = 69,647.44 × 27,807.24
  4. Step 4: Simplify right side
    50,468.57x = 1,936,703,079.47
  5. Step 5: Solve for x
    x = 1,936,703,079.47/50,468.57
  6. Step 6: Final answer
    x = 38,374.44

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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.