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Finding the Fourth Proportional to 29,241.25, 43,866.19 and 8,462.05

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Solution

The fourth proportional to 29,241.25, 43,866.19 and 8,462.05 is: 12,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,241.25 : 43,866.19 = 8,462.05 : x
  2. Step 2: Convert to fraction form
    29,241.25/43,866.19 = 8,462.05/x
  3. Step 3: Cross multiply
    29,241.25x = 43,866.19 × 8,462.05
  4. Step 4: Simplify right side
    29,241.25x = 371,197,893.09
  5. Step 5: Solve for x
    x = 371,197,893.09/29,241.25
  6. Step 6: Final answer
    x = 12,694.32

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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.