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Finding the Fourth Proportional to 33,889, 46,766.84 and 20,641

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Solution

The fourth proportional to 33,889, 46,766.84 and 20,641 is: 28,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,889 : 46,766.84 = 20,641 : x
  2. Step 2: Convert to fraction form
    33,889/46,766.84 = 20,641/x
  3. Step 3: Cross multiply
    33,889x = 46,766.84 × 20,641
  4. Step 4: Simplify right side
    33,889x = 965,314,344.44
  5. Step 5: Solve for x
    x = 965,314,344.44/33,889
  6. Step 6: Final answer
    x = 28,484.59

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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.