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Finding the Fourth Proportional to 49,356.36, 68,111.79 and 27,850.67

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Solution

The fourth proportional to 49,356.36, 68,111.79 and 27,850.67 is: 38,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356.36 : 68,111.79 = 27,850.67 : x
  2. Step 2: Convert to fraction form
    49,356.36/68,111.79 = 27,850.67/x
  3. Step 3: Cross multiply
    49,356.36x = 68,111.79 × 27,850.67
  4. Step 4: Simplify right side
    49,356.36x = 1,896,958,645.84
  5. Step 5: Solve for x
    x = 1,896,958,645.84/49,356.36
  6. Step 6: Final answer
    x = 38,433.93

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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.