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Finding the Fourth Proportional to 47,771.72, 71,541 and 41,239.88

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Solution

The fourth proportional to 47,771.72, 71,541 and 41,239.88 is: 61,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,771.72 : 71,541 = 41,239.88 : x
  2. Step 2: Convert to fraction form
    47,771.72/71,541 = 41,239.88/x
  3. Step 3: Cross multiply
    47,771.72x = 71,541 × 41,239.88
  4. Step 4: Simplify right side
    47,771.72x = 2,950,342,255.08
  5. Step 5: Solve for x
    x = 2,950,342,255.08/47,771.72
  6. Step 6: Final answer
    x = 61,759.18

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