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Finding the Fourth Proportional to 47,711.32, 71,579.04 and 33,698.70

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Solution

The fourth proportional to 47,711.32, 71,579.04 and 33,698.70 is: 50,556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.32 : 71,579.04 = 33,698.70 : x
  2. Step 2: Convert to fraction form
    47,711.32/71,579.04 = 33,698.70/x
  3. Step 3: Cross multiply
    47,711.32x = 71,579.04 × 33,698.70
  4. Step 4: Simplify right side
    47,711.32x = 2,412,120,595.25
  5. Step 5: Solve for x
    x = 2,412,120,595.25/47,711.32
  6. Step 6: Final answer
    x = 50,556.57

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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.