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Finding the Fourth Proportional to 57,955.89, 86,933.83 and 31,646.28

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Solution

The fourth proportional to 57,955.89, 86,933.83 and 31,646.28 is: 47,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,955.89 : 86,933.83 = 31,646.28 : x
  2. Step 2: Convert to fraction form
    57,955.89/86,933.83 = 31,646.28/x
  3. Step 3: Cross multiply
    57,955.89x = 86,933.83 × 31,646.28
  4. Step 4: Simplify right side
    57,955.89x = 2,751,131,732.75
  5. Step 5: Solve for x
    x = 2,751,131,732.75/57,955.89
  6. Step 6: Final answer
    x = 47,469.41

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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.