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Finding the Fourth Proportional to 49,236.36, 73,809.06 and 19,647

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Solution

The fourth proportional to 49,236.36, 73,809.06 and 19,647 is: 29,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236.36 : 73,809.06 = 19,647 : x
  2. Step 2: Convert to fraction form
    49,236.36/73,809.06 = 19,647/x
  3. Step 3: Cross multiply
    49,236.36x = 73,809.06 × 19,647
  4. Step 4: Simplify right side
    49,236.36x = 1,450,126,601.82
  5. Step 5: Solve for x
    x = 1,450,126,601.82/49,236.36
  6. Step 6: Final answer
    x = 29,452.35

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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.