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Finding the Fourth Proportional to 51,141.39, 76,676.43 and 22,662.87

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Solution

The fourth proportional to 51,141.39, 76,676.43 and 22,662.87 is: 33,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,141.39 : 76,676.43 = 22,662.87 : x
  2. Step 2: Convert to fraction form
    51,141.39/76,676.43 = 22,662.87/x
  3. Step 3: Cross multiply
    51,141.39x = 76,676.43 × 22,662.87
  4. Step 4: Simplify right side
    51,141.39x = 1,737,707,965.15
  5. Step 5: Solve for x
    x = 1,737,707,965.15/51,141.39
  6. Step 6: Final answer
    x = 33,978.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.