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Finding the Fourth Proportional to 73,829.30, 101,849 and 48,324.44

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Solution

The fourth proportional to 73,829.30, 101,849 and 48,324.44 is: 66,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,829.30 : 101,849 = 48,324.44 : x
  2. Step 2: Convert to fraction form
    73,829.30/101,849 = 48,324.44/x
  3. Step 3: Cross multiply
    73,829.30x = 101,849 × 48,324.44
  4. Step 4: Simplify right side
    73,829.30x = 4,921,795,889.56
  5. Step 5: Solve for x
    x = 4,921,795,889.56/73,829.30
  6. Step 6: Final answer
    x = 66,664.53

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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.