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Finding the Fourth Proportional to 29,047.83, 43,571.74 and 8,271.33

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Solution

The fourth proportional to 29,047.83, 43,571.74 and 8,271.33 is: 12,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,047.83 : 43,571.74 = 8,271.33 : x
  2. Step 2: Convert to fraction form
    29,047.83/43,571.74 = 8,271.33/x
  3. Step 3: Cross multiply
    29,047.83x = 43,571.74 × 8,271.33
  4. Step 4: Simplify right side
    29,047.83x = 360,396,240.21
  5. Step 5: Solve for x
    x = 360,396,240.21/29,047.83
  6. Step 6: Final answer
    x = 12,406.99

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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.