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Finding the Fourth Proportional to 47,793.42, 71,698.78 and 19,697.84

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Solution

The fourth proportional to 47,793.42, 71,698.78 and 19,697.84 is: 29,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,793.42 : 71,698.78 = 19,697.84 : x
  2. Step 2: Convert to fraction form
    47,793.42/71,698.78 = 19,697.84/x
  3. Step 3: Cross multiply
    47,793.42x = 71,698.78 × 19,697.84
  4. Step 4: Simplify right side
    47,793.42x = 1,412,311,096.64
  5. Step 5: Solve for x
    x = 1,412,311,096.64/47,793.42
  6. Step 6: Final answer
    x = 29,550.33

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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.