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Finding the Fourth Proportional to 33,644.94, 46,448.64 and 20,219.46

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Solution

The fourth proportional to 33,644.94, 46,448.64 and 20,219.46 is: 27,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644.94 : 46,448.64 = 20,219.46 : x
  2. Step 2: Convert to fraction form
    33,644.94/46,448.64 = 20,219.46/x
  3. Step 3: Cross multiply
    33,644.94x = 46,448.64 × 20,219.46
  4. Step 4: Simplify right side
    33,644.94x = 939,166,418.53
  5. Step 5: Solve for x
    x = 939,166,418.53/33,644.94
  6. Step 6: Final answer
    x = 27,914.05

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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.