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Finding the Fourth Proportional to 38,212.40, 57,361.80 and 22,638.80

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Solution

The fourth proportional to 38,212.40, 57,361.80 and 22,638.80 is: 33,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,212.40 : 57,361.80 = 22,638.80 : x
  2. Step 2: Convert to fraction form
    38,212.40/57,361.80 = 22,638.80/x
  3. Step 3: Cross multiply
    38,212.40x = 57,361.80 × 22,638.80
  4. Step 4: Simplify right side
    38,212.40x = 1,298,602,317.84
  5. Step 5: Solve for x
    x = 1,298,602,317.84/38,212.40
  6. Step 6: Final answer
    x = 33,983.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.