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Finding the Fourth Proportional to 29,201.26, 43,803.30 and 8,141.26

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Solution

The fourth proportional to 29,201.26, 43,803.30 and 8,141.26 is: 12,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,201.26 : 43,803.30 = 8,141.26 : x
  2. Step 2: Convert to fraction form
    29,201.26/43,803.30 = 8,141.26/x
  3. Step 3: Cross multiply
    29,201.26x = 43,803.30 × 8,141.26
  4. Step 4: Simplify right side
    29,201.26x = 356,614,054.16
  5. Step 5: Solve for x
    x = 356,614,054.16/29,201.26
  6. Step 6: Final answer
    x = 12,212.28

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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.