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Finding the Fourth Proportional to 39,794.85, 54,915.75 and 21,645

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Solution

The fourth proportional to 39,794.85, 54,915.75 and 21,645 is: 29,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,794.85 : 54,915.75 = 21,645 : x
  2. Step 2: Convert to fraction form
    39,794.85/54,915.75 = 21,645/x
  3. Step 3: Cross multiply
    39,794.85x = 54,915.75 × 21,645
  4. Step 4: Simplify right side
    39,794.85x = 1,188,651,408.75
  5. Step 5: Solve for x
    x = 1,188,651,408.75/39,794.85
  6. Step 6: Final answer
    x = 29,869.48

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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.