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Finding the Fourth Proportional to 65,576.49, 90,503.24 and 37,286.43

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Solution

The fourth proportional to 65,576.49, 90,503.24 and 37,286.43 is: 51,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576.49 : 90,503.24 = 37,286.43 : x
  2. Step 2: Convert to fraction form
    65,576.49/90,503.24 = 37,286.43/x
  3. Step 3: Cross multiply
    65,576.49x = 90,503.24 × 37,286.43
  4. Step 4: Simplify right side
    65,576.49x = 3,374,542,723.03
  5. Step 5: Solve for x
    x = 3,374,542,723.03/65,576.49
  6. Step 6: Final answer
    x = 51,459.64

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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.