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Finding the Fourth Proportional to 51,679.30, 71,298.30 and 32,553.94

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Solution

The fourth proportional to 51,679.30, 71,298.30 and 32,553.94 is: 44,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,679.30 : 71,298.30 = 32,553.94 : x
  2. Step 2: Convert to fraction form
    51,679.30/71,298.30 = 32,553.94/x
  3. Step 3: Cross multiply
    51,679.30x = 71,298.30 × 32,553.94
  4. Step 4: Simplify right side
    51,679.30x = 2,321,040,580.30
  5. Step 5: Solve for x
    x = 2,321,040,580.30/51,679.30
  6. Step 6: Final answer
    x = 44,912.38

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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.