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Finding the Fourth Proportional to 57,950.37, 86,958.20 and 31,295.97

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Solution

The fourth proportional to 57,950.37, 86,958.20 and 31,295.97 is: 46,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,950.37 : 86,958.20 = 31,295.97 : x
  2. Step 2: Convert to fraction form
    57,950.37/86,958.20 = 31,295.97/x
  3. Step 3: Cross multiply
    57,950.37x = 86,958.20 × 31,295.97
  4. Step 4: Simplify right side
    57,950.37x = 2,721,441,076.64
  5. Step 5: Solve for x
    x = 2,721,441,076.64/57,950.37
  6. Step 6: Final answer
    x = 46,961.58

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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.