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Finding the Fourth Proportional to 38,213.74, 52,760.66 and 29,245.22

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Solution

The fourth proportional to 38,213.74, 52,760.66 and 29,245.22 is: 40,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,213.74 : 52,760.66 = 29,245.22 : x
  2. Step 2: Convert to fraction form
    38,213.74/52,760.66 = 29,245.22/x
  3. Step 3: Cross multiply
    38,213.74x = 52,760.66 × 29,245.22
  4. Step 4: Simplify right side
    38,213.74x = 1,542,997,109.05
  5. Step 5: Solve for x
    x = 1,542,997,109.05/38,213.74
  6. Step 6: Final answer
    x = 40,378.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.