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Finding the Fourth Proportional to 29,202.26, 43,804.80 and 8,142.26

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Solution

The fourth proportional to 29,202.26, 43,804.80 and 8,142.26 is: 12,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,202.26 : 43,804.80 = 8,142.26 : x
  2. Step 2: Convert to fraction form
    29,202.26/43,804.80 = 8,142.26/x
  3. Step 3: Cross multiply
    29,202.26x = 43,804.80 × 8,142.26
  4. Step 4: Simplify right side
    29,202.26x = 356,670,070.85
  5. Step 5: Solve for x
    x = 356,670,070.85/29,202.26
  6. Step 6: Final answer
    x = 12,213.78

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1.5x scale

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.