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Finding the Fourth Proportional to 57,092.91, 78,788.38 and 31,601.04

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Solution

The fourth proportional to 57,092.91, 78,788.38 and 31,601.04 is: 43,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,092.91 : 78,788.38 = 31,601.04 : x
  2. Step 2: Convert to fraction form
    57,092.91/78,788.38 = 31,601.04/x
  3. Step 3: Cross multiply
    57,092.91x = 78,788.38 × 31,601.04
  4. Step 4: Simplify right side
    57,092.91x = 2,489,795,097.49
  5. Step 5: Solve for x
    x = 2,489,795,097.49/57,092.91
  6. Step 6: Final answer
    x = 43,609.53

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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.