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Finding the Fourth Proportional to 34,236.83, 47,245.34 and 21,496.61

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Solution

The fourth proportional to 34,236.83, 47,245.34 and 21,496.61 is: 29,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,236.83 : 47,245.34 = 21,496.61 : x
  2. Step 2: Convert to fraction form
    34,236.83/47,245.34 = 21,496.61/x
  3. Step 3: Cross multiply
    34,236.83x = 47,245.34 × 21,496.61
  4. Step 4: Simplify right side
    34,236.83x = 1,015,614,820.15
  5. Step 5: Solve for x
    x = 1,015,614,820.15/34,236.83
  6. Step 6: Final answer
    x = 29,664.39

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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.