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Finding the Fourth Proportional to 34,777, 47,992.26 and 19,873

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Solution

The fourth proportional to 34,777, 47,992.26 and 19,873 is: 27,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,777 : 47,992.26 = 19,873 : x
  2. Step 2: Convert to fraction form
    34,777/47,992.26 = 19,873/x
  3. Step 3: Cross multiply
    34,777x = 47,992.26 × 19,873
  4. Step 4: Simplify right side
    34,777x = 953,750,182.98
  5. Step 5: Solve for x
    x = 953,750,182.98/34,777
  6. Step 6: Final answer
    x = 27,424.74

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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.