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Finding the Fourth Proportional to 75,982.46, 104,859.46 and 45,777.26

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Solution

The fourth proportional to 75,982.46, 104,859.46 and 45,777.26 is: 63,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,982.46 : 104,859.46 = 45,777.26 : x
  2. Step 2: Convert to fraction form
    75,982.46/104,859.46 = 45,777.26/x
  3. Step 3: Cross multiply
    75,982.46x = 104,859.46 × 45,777.26
  4. Step 4: Simplify right side
    75,982.46x = 4,800,178,763.88
  5. Step 5: Solve for x
    x = 4,800,178,763.88/75,982.46
  6. Step 6: Final answer
    x = 63,174.83

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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.