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Finding the Fourth Proportional to 38,203.40, 57,329.40 and 22,408.40

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Solution

The fourth proportional to 38,203.40, 57,329.40 and 22,408.40 is: 33,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.40 : 57,329.40 = 22,408.40 : x
  2. Step 2: Convert to fraction form
    38,203.40/57,329.40 = 22,408.40/x
  3. Step 3: Cross multiply
    38,203.40x = 57,329.40 × 22,408.40
  4. Step 4: Simplify right side
    38,203.40x = 1,284,660,126.96
  5. Step 5: Solve for x
    x = 1,284,660,126.96/38,203.40
  6. Step 6: Final answer
    x = 33,626.85

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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.