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Finding the Fourth Proportional to 33,860.38, 46,711.92 and 19,705

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Solution

The fourth proportional to 33,860.38, 46,711.92 and 19,705 is: 27,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,860.38 : 46,711.92 = 19,705 : x
  2. Step 2: Convert to fraction form
    33,860.38/46,711.92 = 19,705/x
  3. Step 3: Cross multiply
    33,860.38x = 46,711.92 × 19,705
  4. Step 4: Simplify right side
    33,860.38x = 920,458,383.60
  5. Step 5: Solve for x
    x = 920,458,383.60/33,860.38
  6. Step 6: Final answer
    x = 27,183.94

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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.