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Finding the Fourth Proportional to 47,771.16, 71,668.98 and 33,759

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Solution

The fourth proportional to 47,771.16, 71,668.98 and 33,759 is: 50,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,771.16 : 71,668.98 = 33,759 : x
  2. Step 2: Convert to fraction form
    47,771.16/71,668.98 = 33,759/x
  3. Step 3: Cross multiply
    47,771.16x = 71,668.98 × 33,759
  4. Step 4: Simplify right side
    47,771.16x = 2,419,473,095.82
  5. Step 5: Solve for x
    x = 2,419,473,095.82/47,771.16
  6. Step 6: Final answer
    x = 50,647.15

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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.