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Finding the Fourth Proportional to 33,748.70, 46,571.96 and 18,642

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Solution

The fourth proportional to 33,748.70, 46,571.96 and 18,642 is: 25,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,748.70 : 46,571.96 = 18,642 : x
  2. Step 2: Convert to fraction form
    33,748.70/46,571.96 = 18,642/x
  3. Step 3: Cross multiply
    33,748.70x = 46,571.96 × 18,642
  4. Step 4: Simplify right side
    33,748.70x = 868,194,478.32
  5. Step 5: Solve for x
    x = 868,194,478.32/33,748.70
  6. Step 6: Final answer
    x = 25,725.27

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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.