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Finding the Fourth Proportional to 34,363.85, 47,414.16 and 20,217.60

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Solution

The fourth proportional to 34,363.85, 47,414.16 and 20,217.60 is: 27,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,363.85 : 47,414.16 = 20,217.60 : x
  2. Step 2: Convert to fraction form
    34,363.85/47,414.16 = 20,217.60/x
  3. Step 3: Cross multiply
    34,363.85x = 47,414.16 × 20,217.60
  4. Step 4: Simplify right side
    34,363.85x = 958,600,521.22
  5. Step 5: Solve for x
    x = 958,600,521.22/34,363.85
  6. Step 6: Final answer
    x = 27,895.61

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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.