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Finding the Fourth Proportional to 57,093, 78,785.91 and 31,596.97

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Solution

The fourth proportional to 57,093, 78,785.91 and 31,596.97 is: 43,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,093 : 78,785.91 = 31,596.97 : x
  2. Step 2: Convert to fraction form
    57,093/78,785.91 = 31,596.97/x
  3. Step 3: Cross multiply
    57,093x = 78,785.91 × 31,596.97
  4. Step 4: Simplify right side
    57,093x = 2,489,396,034.69
  5. Step 5: Solve for x
    x = 2,489,396,034.69/57,093
  6. Step 6: Final answer
    x = 43,602.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.