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Finding the Fourth Proportional to 33,051.80, 49,577.80 and 23,235

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Solution

The fourth proportional to 33,051.80, 49,577.80 and 23,235 is: 34,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051.80 : 49,577.80 = 23,235 : x
  2. Step 2: Convert to fraction form
    33,051.80/49,577.80 = 23,235/x
  3. Step 3: Cross multiply
    33,051.80x = 49,577.80 × 23,235
  4. Step 4: Simplify right side
    33,051.80x = 1,151,940,183
  5. Step 5: Solve for x
    x = 1,151,940,183/33,051.80
  6. Step 6: Final answer
    x = 34,852.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.