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Finding the Fourth Proportional to 29,264, 43,896.48 and 8,489.60

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Solution

The fourth proportional to 29,264, 43,896.48 and 8,489.60 is: 12,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,264 : 43,896.48 = 8,489.60 : x
  2. Step 2: Convert to fraction form
    29,264/43,896.48 = 8,489.60/x
  3. Step 3: Cross multiply
    29,264x = 43,896.48 × 8,489.60
  4. Step 4: Simplify right side
    29,264x = 372,663,556.61
  5. Step 5: Solve for x
    x = 372,663,556.61/29,264
  6. Step 6: Final answer
    x = 12,734.54

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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.