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Finding the Fourth Proportional to 62,744, 94,133.92 and 31,163.68

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Solution

The fourth proportional to 62,744, 94,133.92 and 31,163.68 is: 46,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,744 : 94,133.92 = 31,163.68 : x
  2. Step 2: Convert to fraction form
    62,744/94,133.92 = 31,163.68/x
  3. Step 3: Cross multiply
    62,744x = 94,133.92 × 31,163.68
  4. Step 4: Simplify right side
    62,744x = 2,933,559,360.03
  5. Step 5: Solve for x
    x = 2,933,559,360.03/62,744
  6. Step 6: Final answer
    x = 46,754.42

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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.