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Finding the Fourth Proportional to 51,676.98, 71,296.38 and 29,012.82

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Solution

The fourth proportional to 51,676.98, 71,296.38 and 29,012.82 is: 40,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,676.98 : 71,296.38 = 29,012.82 : x
  2. Step 2: Convert to fraction form
    51,676.98/71,296.38 = 29,012.82/x
  3. Step 3: Cross multiply
    51,676.98x = 71,296.38 × 29,012.82
  4. Step 4: Simplify right side
    51,676.98x = 2,068,509,039.59
  5. Step 5: Solve for x
    x = 2,068,509,039.59/51,676.98
  6. Step 6: Final answer
    x = 40,027.67

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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.