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Finding the Fourth Proportional to 51,676.54, 71,314.38 and 29,020.44

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Solution

The fourth proportional to 51,676.54, 71,314.38 and 29,020.44 is: 40,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,676.54 : 71,314.38 = 29,020.44 : x
  2. Step 2: Convert to fraction form
    51,676.54/71,314.38 = 29,020.44/x
  3. Step 3: Cross multiply
    51,676.54x = 71,314.38 × 29,020.44
  4. Step 4: Simplify right side
    51,676.54x = 2,069,574,685.93
  5. Step 5: Solve for x
    x = 2,069,574,685.93/51,676.54
  6. Step 6: Final answer
    x = 40,048.63

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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.