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Finding the Fourth Proportional to 50,069, 69,095.22 and 27,713

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Solution

The fourth proportional to 50,069, 69,095.22 and 27,713 is: 38,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,069 : 69,095.22 = 27,713 : x
  2. Step 2: Convert to fraction form
    50,069/69,095.22 = 27,713/x
  3. Step 3: Cross multiply
    50,069x = 69,095.22 × 27,713
  4. Step 4: Simplify right side
    50,069x = 1,914,835,831.86
  5. Step 5: Solve for x
    x = 1,914,835,831.86/50,069
  6. Step 6: Final answer
    x = 38,243.94

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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.