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Finding the Fourth Proportional to 51,291.92, 76,735.44 and 38,847.80

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Solution

The fourth proportional to 51,291.92, 76,735.44 and 38,847.80 is: 58,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,291.92 : 76,735.44 = 38,847.80 : x
  2. Step 2: Convert to fraction form
    51,291.92/76,735.44 = 38,847.80/x
  3. Step 3: Cross multiply
    51,291.92x = 76,735.44 × 38,847.80
  4. Step 4: Simplify right side
    51,291.92x = 2,981,003,026.03
  5. Step 5: Solve for x
    x = 2,981,003,026.03/51,291.92
  6. Step 6: Final answer
    x = 58,118.37

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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.