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Finding the Fourth Proportional to 87,846.81, 131,794.82 and 35,293.20

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Solution

The fourth proportional to 87,846.81, 131,794.82 and 35,293.20 is: 52,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,846.81 : 131,794.82 = 35,293.20 : x
  2. Step 2: Convert to fraction form
    87,846.81/131,794.82 = 35,293.20/x
  3. Step 3: Cross multiply
    87,846.81x = 131,794.82 × 35,293.20
  4. Step 4: Simplify right side
    87,846.81x = 4,651,460,764.76
  5. Step 5: Solve for x
    x = 4,651,460,764.76/87,846.81
  6. Step 6: Final answer
    x = 52,949.68

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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.