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Finding the Fourth Proportional to 33,840.78, 46,705.05 and 19,698.18

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Solution

The fourth proportional to 33,840.78, 46,705.05 and 19,698.18 is: 27,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840.78 : 46,705.05 = 19,698.18 : x
  2. Step 2: Convert to fraction form
    33,840.78/46,705.05 = 19,698.18/x
  3. Step 3: Cross multiply
    33,840.78x = 46,705.05 × 19,698.18
  4. Step 4: Simplify right side
    33,840.78x = 920,004,481.81
  5. Step 5: Solve for x
    x = 920,004,481.81/33,840.78
  6. Step 6: Final answer
    x = 27,186.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.