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Finding the Fourth Proportional to 30,911.36, 46,375.68 and 10,149.44

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Solution

The fourth proportional to 30,911.36, 46,375.68 and 10,149.44 is: 15,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911.36 : 46,375.68 = 10,149.44 : x
  2. Step 2: Convert to fraction form
    30,911.36/46,375.68 = 10,149.44/x
  3. Step 3: Cross multiply
    30,911.36x = 46,375.68 × 10,149.44
  4. Step 4: Simplify right side
    30,911.36x = 470,687,181.62
  5. Step 5: Solve for x
    x = 470,687,181.62/30,911.36
  6. Step 6: Final answer
    x = 15,227.00

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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.