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Finding the Fourth Proportional to 51,777, 77,650.92 and 16,712.10

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Solution

The fourth proportional to 51,777, 77,650.92 and 16,712.10 is: 25,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,777 : 77,650.92 = 16,712.10 : x
  2. Step 2: Convert to fraction form
    51,777/77,650.92 = 16,712.10/x
  3. Step 3: Cross multiply
    51,777x = 77,650.92 × 16,712.10
  4. Step 4: Simplify right side
    51,777x = 1,297,709,940.13
  5. Step 5: Solve for x
    x = 1,297,709,940.13/51,777
  6. Step 6: Final answer
    x = 25,063.44

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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.