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Finding the Fourth Proportional to 33,568, 46,323.92 and 18,664

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Solution

The fourth proportional to 33,568, 46,323.92 and 18,664 is: 25,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,568 : 46,323.92 = 18,664 : x
  2. Step 2: Convert to fraction form
    33,568/46,323.92 = 18,664/x
  3. Step 3: Cross multiply
    33,568x = 46,323.92 × 18,664
  4. Step 4: Simplify right side
    33,568x = 864,589,642.88
  5. Step 5: Solve for x
    x = 864,589,642.88/33,568
  6. Step 6: Final answer
    x = 25,756.36

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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.