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Finding the Fourth Proportional to 33,951, 46,853.82 and 19,047

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Solution

The fourth proportional to 33,951, 46,853.82 and 19,047 is: 26,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,951 : 46,853.82 = 19,047 : x
  2. Step 2: Convert to fraction form
    33,951/46,853.82 = 19,047/x
  3. Step 3: Cross multiply
    33,951x = 46,853.82 × 19,047
  4. Step 4: Simplify right side
    33,951x = 892,424,709.54
  5. Step 5: Solve for x
    x = 892,424,709.54/33,951
  6. Step 6: Final answer
    x = 26,285.67

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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.