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Finding the Fourth Proportional to 30,676.68, 46,023.38 and 10,957.24

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Solution

The fourth proportional to 30,676.68, 46,023.38 and 10,957.24 is: 16,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.68 : 46,023.38 = 10,957.24 : x
  2. Step 2: Convert to fraction form
    30,676.68/46,023.38 = 10,957.24/x
  3. Step 3: Cross multiply
    30,676.68x = 46,023.38 × 10,957.24
  4. Step 4: Simplify right side
    30,676.68x = 504,289,220.27
  5. Step 5: Solve for x
    x = 504,289,220.27/30,676.68
  6. Step 6: Final answer
    x = 16,438.85

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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.