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Finding the Fourth Proportional to 29,835.86, 41,173.12 and 22,213.20

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Solution

The fourth proportional to 29,835.86, 41,173.12 and 22,213.20 is: 30,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.86 : 41,173.12 = 22,213.20 : x
  2. Step 2: Convert to fraction form
    29,835.86/41,173.12 = 22,213.20/x
  3. Step 3: Cross multiply
    29,835.86x = 41,173.12 × 22,213.20
  4. Step 4: Simplify right side
    29,835.86x = 914,586,749.18
  5. Step 5: Solve for x
    x = 914,586,749.18/29,835.86
  6. Step 6: Final answer
    x = 30,653.94

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