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Finding the Fourth Proportional to 65,197.76, 89,972.96 and 36,912.56

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Solution

The fourth proportional to 65,197.76, 89,972.96 and 36,912.56 is: 50,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.76 : 89,972.96 = 36,912.56 : x
  2. Step 2: Convert to fraction form
    65,197.76/89,972.96 = 36,912.56/x
  3. Step 3: Cross multiply
    65,197.76x = 89,972.96 × 36,912.56
  4. Step 4: Simplify right side
    65,197.76x = 3,321,132,284.38
  5. Step 5: Solve for x
    x = 3,321,132,284.38/65,197.76
  6. Step 6: Final answer
    x = 50,939.36

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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.