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Finding the Fourth Proportional to 57,952.92, 86,942.94 and 17,969.80

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Solution

The fourth proportional to 57,952.92, 86,942.94 and 17,969.80 is: 26,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952.92 : 86,942.94 = 17,969.80 : x
  2. Step 2: Convert to fraction form
    57,952.92/86,942.94 = 17,969.80/x
  3. Step 3: Cross multiply
    57,952.92x = 86,942.94 × 17,969.80
  4. Step 4: Simplify right side
    57,952.92x = 1,562,347,243.21
  5. Step 5: Solve for x
    x = 1,562,347,243.21/57,952.92
  6. Step 6: Final answer
    x = 26,958.90

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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.