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Finding the Fourth Proportional to 29,278.29, 43,912.98 and 8,216.13

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Solution

The fourth proportional to 29,278.29, 43,912.98 and 8,216.13 is: 12,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,278.29 : 43,912.98 = 8,216.13 : x
  2. Step 2: Convert to fraction form
    29,278.29/43,912.98 = 8,216.13/x
  3. Step 3: Cross multiply
    29,278.29x = 43,912.98 × 8,216.13
  4. Step 4: Simplify right side
    29,278.29x = 360,794,752.37
  5. Step 5: Solve for x
    x = 360,794,752.37/29,278.29
  6. Step 6: Final answer
    x = 12,322.94

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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.