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Finding the Fourth Proportional to 33,949.54, 46,856 and 19,802.38

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Solution

The fourth proportional to 33,949.54, 46,856 and 19,802.38 is: 27,330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,949.54 : 46,856 = 19,802.38 : x
  2. Step 2: Convert to fraction form
    33,949.54/46,856 = 19,802.38/x
  3. Step 3: Cross multiply
    33,949.54x = 46,856 × 19,802.38
  4. Step 4: Simplify right side
    33,949.54x = 927,860,317.28
  5. Step 5: Solve for x
    x = 927,860,317.28/33,949.54
  6. Step 6: Final answer
    x = 27,330.57

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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.