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Finding the Fourth Proportional to 31,105.08, 46,647.54 and 10,323

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Solution

The fourth proportional to 31,105.08, 46,647.54 and 10,323 is: 15,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.08 : 46,647.54 = 10,323 : x
  2. Step 2: Convert to fraction form
    31,105.08/46,647.54 = 10,323/x
  3. Step 3: Cross multiply
    31,105.08x = 46,647.54 × 10,323
  4. Step 4: Simplify right side
    31,105.08x = 481,542,555.42
  5. Step 5: Solve for x
    x = 481,542,555.42/31,105.08
  6. Step 6: Final answer
    x = 15,481.15

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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.