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Finding the Fourth Proportional to 64,064.21, 96,105.49 and 19,694.68

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Solution

The fourth proportional to 64,064.21, 96,105.49 and 19,694.68 is: 29,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,064.21 : 96,105.49 = 19,694.68 : x
  2. Step 2: Convert to fraction form
    64,064.21/96,105.49 = 19,694.68/x
  3. Step 3: Cross multiply
    64,064.21x = 96,105.49 × 19,694.68
  4. Step 4: Simplify right side
    64,064.21x = 1,892,766,582.29
  5. Step 5: Solve for x
    x = 1,892,766,582.29/64,064.21
  6. Step 6: Final answer
    x = 29,544.84

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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.