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Finding the Fourth Proportional to 57,951.37, 86,959.70 and 31,296.97

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Solution

The fourth proportional to 57,951.37, 86,959.70 and 31,296.97 is: 46,963.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,951.37 : 86,959.70 = 31,296.97 : x
  2. Step 2: Convert to fraction form
    57,951.37/86,959.70 = 31,296.97/x
  3. Step 3: Cross multiply
    57,951.37x = 86,959.70 × 31,296.97
  4. Step 4: Simplify right side
    57,951.37x = 2,721,575,122.11
  5. Step 5: Solve for x
    x = 2,721,575,122.11/57,951.37
  6. Step 6: Final answer
    x = 46,963.09

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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.