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Finding the Fourth Proportional to 50,894.91, 76,357.31 and 22,808.67

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Solution

The fourth proportional to 50,894.91, 76,357.31 and 22,808.67 is: 34,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,894.91 : 76,357.31 = 22,808.67 : x
  2. Step 2: Convert to fraction form
    50,894.91/76,357.31 = 22,808.67/x
  3. Step 3: Cross multiply
    50,894.91x = 76,357.31 × 22,808.67
  4. Step 4: Simplify right side
    50,894.91x = 1,741,608,571.83
  5. Step 5: Solve for x
    x = 1,741,608,571.83/50,894.91
  6. Step 6: Final answer
    x = 34,219.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.