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Finding the Fourth Proportional to 33,841, 46,721.76 and 21,746.38

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Solution

The fourth proportional to 33,841, 46,721.76 and 21,746.38 is: 30,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,841 : 46,721.76 = 21,746.38 : x
  2. Step 2: Convert to fraction form
    33,841/46,721.76 = 21,746.38/x
  3. Step 3: Cross multiply
    33,841x = 46,721.76 × 21,746.38
  4. Step 4: Simplify right side
    33,841x = 1,016,029,147.23
  5. Step 5: Solve for x
    x = 1,016,029,147.23/33,841
  6. Step 6: Final answer
    x = 30,023.61

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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.