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Finding the Fourth Proportional to 69,915.31, 104,832.46 and 47,755.47

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Solution

The fourth proportional to 69,915.31, 104,832.46 and 47,755.47 is: 71,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,915.31 : 104,832.46 = 47,755.47 : x
  2. Step 2: Convert to fraction form
    69,915.31/104,832.46 = 47,755.47/x
  3. Step 3: Cross multiply
    69,915.31x = 104,832.46 × 47,755.47
  4. Step 4: Simplify right side
    69,915.31x = 5,006,323,398.56
  5. Step 5: Solve for x
    x = 5,006,323,398.56/69,915.31
  6. Step 6: Final answer
    x = 71,605.54

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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.