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The problem asks to find the sum of all the positive multiples of 7 that are less than 50. Let's solve it step by step.

### Step 1: Identify the positive multiples of 7 less than 50.
The multiples of 7 less than 50 are:
\[ 7, 14, 21, 28, 35, 42, 49 \]

### Step 2: Add these multiples together.
\[ 7 + 14 + 21 + 28 + 35 + 42 + 49 \]

Let's calculate this sum:
\[
7 + 14 = 21 \\
21 + 21 = 42 \\
42 + 28 = 70 \\
70 + 35 = 105 \\
105 + 42 = 147 \\
147 + 49 = 196
\]

So, the sum of all the positive multiples of 7 that are less than 50 is **196**.

If you need further details or have any questions, feel free to ask!

Here are five related questions to deepen your understanding:
1. What is the sum of all positive multiples of 7 that are less than 100?
2. How do you find the sum of an arithmetic series?
3. What is the general formula for the sum of the first \(n\) terms of an arithmetic sequence?
4. How would you find the sum of all positive multiples of a different number, say 5, that are less than 50?
5. What are the applications of finding the sum of multiples in real-world scenarios?

**Tip:** When adding a series of numbers, it’s often helpful to check for patterns or use a formula to simplify the process, especially when dealing with arithmetic sequences.

Find the sum of all the positive multiples of 7 that are less than 50.

Calculate the sum of all positive multiples of 7 that are less than 50. This arithmetic problem is designed for students in Grades 6-8 and involves key mathematical concepts such as multiples and arithmetic progressions.

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