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Finding the Fourth Proportional to 33,638.40, 50,414.40 and 25,808.40

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Solution

The fourth proportional to 33,638.40, 50,414.40 and 25,808.40 is: 38,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.40 : 50,414.40 = 25,808.40 : x
  2. Step 2: Convert to fraction form
    33,638.40/50,414.40 = 25,808.40/x
  3. Step 3: Cross multiply
    33,638.40x = 50,414.40 × 25,808.40
  4. Step 4: Simplify right side
    33,638.40x = 1,301,115,000.96
  5. Step 5: Solve for x
    x = 1,301,115,000.96/33,638.40
  6. Step 6: Final answer
    x = 38,679.46

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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.