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Finding the Fourth Proportional to 64,494.84, 96,757.26 and 20,119.20

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Solution

The fourth proportional to 64,494.84, 96,757.26 and 20,119.20 is: 30,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494.84 : 96,757.26 = 20,119.20 : x
  2. Step 2: Convert to fraction form
    64,494.84/96,757.26 = 20,119.20/x
  3. Step 3: Cross multiply
    64,494.84x = 96,757.26 × 20,119.20
  4. Step 4: Simplify right side
    64,494.84x = 1,946,678,665.39
  5. Step 5: Solve for x
    x = 1,946,678,665.39/64,494.84
  6. Step 6: Final answer
    x = 30,183.48

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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.