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Finding the Fourth Proportional to 35,450, 53,175 and 10,826

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Solution

The fourth proportional to 35,450, 53,175 and 10,826 is: 16,239

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,450 : 53,175 = 10,826 : x
  2. Step 2: Convert to fraction form
    35,450/53,175 = 10,826/x
  3. Step 3: Cross multiply
    35,450x = 53,175 × 10,826
  4. Step 4: Simplify right side
    35,450x = 575,672,550
  5. Step 5: Solve for x
    x = 575,672,550/35,450
  6. Step 6: Final answer
    x = 16,239

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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.