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Finding the Fourth Proportional to 30,819.40, 46,229.10 and 20,977.90

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Solution

The fourth proportional to 30,819.40, 46,229.10 and 20,977.90 is: 31,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.40 : 46,229.10 = 20,977.90 : x
  2. Step 2: Convert to fraction form
    30,819.40/46,229.10 = 20,977.90/x
  3. Step 3: Cross multiply
    30,819.40x = 46,229.10 × 20,977.90
  4. Step 4: Simplify right side
    30,819.40x = 969,789,436.89
  5. Step 5: Solve for x
    x = 969,789,436.89/30,819.40
  6. Step 6: Final answer
    x = 31,466.85

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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.