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Finding the Fourth Proportional to 57,046.98, 85,524.18 and 23,791.98

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Solution

The fourth proportional to 57,046.98, 85,524.18 and 23,791.98 is: 35,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,046.98 : 85,524.18 = 23,791.98 : x
  2. Step 2: Convert to fraction form
    57,046.98/85,524.18 = 23,791.98/x
  3. Step 3: Cross multiply
    57,046.98x = 85,524.18 × 23,791.98
  4. Step 4: Simplify right side
    57,046.98x = 2,034,789,580.08
  5. Step 5: Solve for x
    x = 2,034,789,580.08/57,046.98
  6. Step 6: Final answer
    x = 35,668.66

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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.