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Finding the Fourth Proportional to 33,494.64, 46,224.93 and 22,144.41

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Solution

The fourth proportional to 33,494.64, 46,224.93 and 22,144.41 is: 30,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,494.64 : 46,224.93 = 22,144.41 : x
  2. Step 2: Convert to fraction form
    33,494.64/46,224.93 = 22,144.41/x
  3. Step 3: Cross multiply
    33,494.64x = 46,224.93 × 22,144.41
  4. Step 4: Simplify right side
    33,494.64x = 1,023,623,802.14
  5. Step 5: Solve for x
    x = 1,023,623,802.14/33,494.64
  6. Step 6: Final answer
    x = 30,560.82

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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.