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Finding the Fourth Proportional to 50,234, 69,323.10 and 27,878

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Solution

The fourth proportional to 50,234, 69,323.10 and 27,878 is: 38,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,234 : 69,323.10 = 27,878 : x
  2. Step 2: Convert to fraction form
    50,234/69,323.10 = 27,878/x
  3. Step 3: Cross multiply
    50,234x = 69,323.10 × 27,878
  4. Step 4: Simplify right side
    50,234x = 1,932,589,381.80
  5. Step 5: Solve for x
    x = 1,932,589,381.80/50,234
  6. Step 6: Final answer
    x = 38,471.74

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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.