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Finding the Fourth Proportional to 29,112.81, 43,669.49 and 8,336.31

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Solution

The fourth proportional to 29,112.81, 43,669.49 and 8,336.31 is: 12,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,112.81 : 43,669.49 = 8,336.31 : x
  2. Step 2: Convert to fraction form
    29,112.81/43,669.49 = 8,336.31/x
  3. Step 3: Cross multiply
    29,112.81x = 43,669.49 × 8,336.31
  4. Step 4: Simplify right side
    29,112.81x = 364,042,364.50
  5. Step 5: Solve for x
    x = 364,042,364.50/29,112.81
  6. Step 6: Final answer
    x = 12,504.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.