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Finding the Fourth Proportional to 33,821, 46,675.14 and 18,917

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Solution

The fourth proportional to 33,821, 46,675.14 and 18,917 is: 26,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821 : 46,675.14 = 18,917 : x
  2. Step 2: Convert to fraction form
    33,821/46,675.14 = 18,917/x
  3. Step 3: Cross multiply
    33,821x = 46,675.14 × 18,917
  4. Step 4: Simplify right side
    33,821x = 882,953,623.38
  5. Step 5: Solve for x
    x = 882,953,623.38/33,821
  6. Step 6: Final answer
    x = 26,106.67

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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.