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Finding the Fourth Proportional to 49,760, 74,641.44 and 12,824

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Solution

The fourth proportional to 49,760, 74,641.44 and 12,824 is: 19,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,760 : 74,641.44 = 12,824 : x
  2. Step 2: Convert to fraction form
    49,760/74,641.44 = 12,824/x
  3. Step 3: Cross multiply
    49,760x = 74,641.44 × 12,824
  4. Step 4: Simplify right side
    49,760x = 957,201,826.56
  5. Step 5: Solve for x
    x = 957,201,826.56/49,760
  6. Step 6: Final answer
    x = 19,236.37

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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.