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Finding the Fourth Proportional to 51,676.38, 71,302.68 and 33,797.66

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Solution

The fourth proportional to 51,676.38, 71,302.68 and 33,797.66 is: 46,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,676.38 : 71,302.68 = 33,797.66 : x
  2. Step 2: Convert to fraction form
    51,676.38/71,302.68 = 33,797.66/x
  3. Step 3: Cross multiply
    51,676.38x = 71,302.68 × 33,797.66
  4. Step 4: Simplify right side
    51,676.38x = 2,409,863,379.22
  5. Step 5: Solve for x
    x = 2,409,863,379.22/51,676.38
  6. Step 6: Final answer
    x = 46,633.75

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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.