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Finding the Fourth Proportional to 64,223.37, 96,299.69 and 19,837.80

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Solution

The fourth proportional to 64,223.37, 96,299.69 and 19,837.80 is: 29,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,223.37 : 96,299.69 = 19,837.80 : x
  2. Step 2: Convert to fraction form
    64,223.37/96,299.69 = 19,837.80/x
  3. Step 3: Cross multiply
    64,223.37x = 96,299.69 × 19,837.80
  4. Step 4: Simplify right side
    64,223.37x = 1,910,373,891.09
  5. Step 5: Solve for x
    x = 1,910,373,891.09/64,223.37
  6. Step 6: Final answer
    x = 29,745.77

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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.