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Finding the Fourth Proportional to 50,367.86, 69,504.11 and 27,707.80

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Solution

The fourth proportional to 50,367.86, 69,504.11 and 27,707.80 is: 38,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,367.86 : 69,504.11 = 27,707.80 : x
  2. Step 2: Convert to fraction form
    50,367.86/69,504.11 = 27,707.80/x
  3. Step 3: Cross multiply
    50,367.86x = 69,504.11 × 27,707.80
  4. Step 4: Simplify right side
    50,367.86x = 1,925,805,840.52
  5. Step 5: Solve for x
    x = 1,925,805,840.52/50,367.86
  6. Step 6: Final answer
    x = 38,234.82

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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.