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Finding the Fourth Proportional to 47,791.63, 71,659.77 and 16,191.10

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Solution

The fourth proportional to 47,791.63, 71,659.77 and 16,191.10 is: 24,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,791.63 : 71,659.77 = 16,191.10 : x
  2. Step 2: Convert to fraction form
    47,791.63/71,659.77 = 16,191.10/x
  3. Step 3: Cross multiply
    47,791.63x = 71,659.77 × 16,191.10
  4. Step 4: Simplify right side
    47,791.63x = 1,160,250,502.05
  5. Step 5: Solve for x
    x = 1,160,250,502.05/47,791.63
  6. Step 6: Final answer
    x = 24,277.27

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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.