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Finding the Fourth Proportional to 47,414.90, 71,103.15 and 16,234.10

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Solution

The fourth proportional to 47,414.90, 71,103.15 and 16,234.10 is: 24,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414.90 : 71,103.15 = 16,234.10 : x
  2. Step 2: Convert to fraction form
    47,414.90/71,103.15 = 16,234.10/x
  3. Step 3: Cross multiply
    47,414.90x = 71,103.15 × 16,234.10
  4. Step 4: Simplify right side
    47,414.90x = 1,154,295,647.42
  5. Step 5: Solve for x
    x = 1,154,295,647.42/47,414.90
  6. Step 6: Final answer
    x = 24,344.58

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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.