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Finding the Fourth Proportional to 50,245.32, 69,339.41 and 27,586.42

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Solution

The fourth proportional to 50,245.32, 69,339.41 and 27,586.42 is: 38,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,245.32 : 69,339.41 = 27,586.42 : x
  2. Step 2: Convert to fraction form
    50,245.32/69,339.41 = 27,586.42/x
  3. Step 3: Cross multiply
    50,245.32x = 69,339.41 × 27,586.42
  4. Step 4: Simplify right side
    50,245.32x = 1,912,826,086.81
  5. Step 5: Solve for x
    x = 1,912,826,086.81/50,245.32
  6. Step 6: Final answer
    x = 38,069.74

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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.