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Finding the Fourth Proportional to 35,755.78, 49,342.82 and 19,840.19

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Solution

The fourth proportional to 35,755.78, 49,342.82 and 19,840.19 is: 27,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,755.78 : 49,342.82 = 19,840.19 : x
  2. Step 2: Convert to fraction form
    35,755.78/49,342.82 = 19,840.19/x
  3. Step 3: Cross multiply
    35,755.78x = 49,342.82 × 19,840.19
  4. Step 4: Simplify right side
    35,755.78x = 978,970,948.09
  5. Step 5: Solve for x
    x = 978,970,948.09/35,755.78
  6. Step 6: Final answer
    x = 27,379.38

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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.