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Finding the Fourth Proportional to 65,102.41, 89,843.75 and 36,806.41

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Solution

The fourth proportional to 65,102.41, 89,843.75 and 36,806.41 is: 50,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.41 : 89,843.75 = 36,806.41 : x
  2. Step 2: Convert to fraction form
    65,102.41/89,843.75 = 36,806.41/x
  3. Step 3: Cross multiply
    65,102.41x = 89,843.75 × 36,806.41
  4. Step 4: Simplify right side
    65,102.41x = 3,306,825,898.44
  5. Step 5: Solve for x
    x = 3,306,825,898.44/65,102.41
  6. Step 6: Final answer
    x = 50,794.22

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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.