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Finding the Fourth Proportional to 33,746.96, 46,571.14 and 18,640

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Solution

The fourth proportional to 33,746.96, 46,571.14 and 18,640 is: 25,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,746.96 : 46,571.14 = 18,640 : x
  2. Step 2: Convert to fraction form
    33,746.96/46,571.14 = 18,640/x
  3. Step 3: Cross multiply
    33,746.96x = 46,571.14 × 18,640
  4. Step 4: Simplify right side
    33,746.96x = 868,086,049.60
  5. Step 5: Solve for x
    x = 868,086,049.60/33,746.96
  6. Step 6: Final answer
    x = 25,723.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.