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Finding the Fourth Proportional to 34,132.72, 47,093.34 and 22,213.60

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Solution

The fourth proportional to 34,132.72, 47,093.34 and 22,213.60 is: 30,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,132.72 : 47,093.34 = 22,213.60 : x
  2. Step 2: Convert to fraction form
    34,132.72/47,093.34 = 22,213.60/x
  3. Step 3: Cross multiply
    34,132.72x = 47,093.34 × 22,213.60
  4. Step 4: Simplify right side
    34,132.72x = 1,046,112,617.42
  5. Step 5: Solve for x
    x = 1,046,112,617.42/34,132.72
  6. Step 6: Final answer
    x = 30,648.38

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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.