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Finding the Fourth Proportional to 29,149.67, 43,724.64 and 8,091.39

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Solution

The fourth proportional to 29,149.67, 43,724.64 and 8,091.39 is: 12,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,149.67 : 43,724.64 = 8,091.39 : x
  2. Step 2: Convert to fraction form
    29,149.67/43,724.64 = 8,091.39/x
  3. Step 3: Cross multiply
    29,149.67x = 43,724.64 × 8,091.39
  4. Step 4: Simplify right side
    29,149.67x = 353,793,309.16
  5. Step 5: Solve for x
    x = 353,793,309.16/29,149.67
  6. Step 6: Final answer
    x = 12,137.13

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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.