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Finding the Fourth Proportional to 65,083.44, 89,797.92 and 38,217.36

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Solution

The fourth proportional to 65,083.44, 89,797.92 and 38,217.36 is: 52,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.44 : 89,797.92 = 38,217.36 : x
  2. Step 2: Convert to fraction form
    65,083.44/89,797.92 = 38,217.36/x
  3. Step 3: Cross multiply
    65,083.44x = 89,797.92 × 38,217.36
  4. Step 4: Simplify right side
    65,083.44x = 3,431,839,435.89
  5. Step 5: Solve for x
    x = 3,431,839,435.89/65,083.44
  6. Step 6: Final answer
    x = 52,729.84

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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.