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Finding the Fourth Proportional to 53,793.46, 80,822.04 and 50,809.42

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Solution

The fourth proportional to 53,793.46, 80,822.04 and 50,809.42 is: 76,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,793.46 : 80,822.04 = 50,809.42 : x
  2. Step 2: Convert to fraction form
    53,793.46/80,822.04 = 50,809.42/x
  3. Step 3: Cross multiply
    53,793.46x = 80,822.04 × 50,809.42
  4. Step 4: Simplify right side
    53,793.46x = 4,106,520,975.62
  5. Step 5: Solve for x
    x = 4,106,520,975.62/53,793.46
  6. Step 6: Final answer
    x = 76,338.67

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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.