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Finding the Fourth Proportional to 29,117.31, 43,676.24 and 8,340.81

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Solution

The fourth proportional to 29,117.31, 43,676.24 and 8,340.81 is: 12,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,117.31 : 43,676.24 = 8,340.81 : x
  2. Step 2: Convert to fraction form
    29,117.31/43,676.24 = 8,340.81/x
  3. Step 3: Cross multiply
    29,117.31x = 43,676.24 × 8,340.81
  4. Step 4: Simplify right side
    29,117.31x = 364,295,177.65
  5. Step 5: Solve for x
    x = 364,295,177.65/29,117.31
  6. Step 6: Final answer
    x = 12,511.29

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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.