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Finding the Fourth Proportional to 33,402.31, 46,063.37 and 19,971.38

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Solution

The fourth proportional to 33,402.31, 46,063.37 and 19,971.38 is: 27,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,402.31 : 46,063.37 = 19,971.38 : x
  2. Step 2: Convert to fraction form
    33,402.31/46,063.37 = 19,971.38/x
  3. Step 3: Cross multiply
    33,402.31x = 46,063.37 × 19,971.38
  4. Step 4: Simplify right side
    33,402.31x = 919,949,231.44
  5. Step 5: Solve for x
    x = 919,949,231.44/33,402.31
  6. Step 6: Final answer
    x = 27,541.49

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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.