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Finding the Fourth Proportional to 100,537.90, 150,744.93 and 33,971.74

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Solution

The fourth proportional to 100,537.90, 150,744.93 and 33,971.74 is: 50,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,537.90 : 150,744.93 = 33,971.74 : x
  2. Step 2: Convert to fraction form
    100,537.90/150,744.93 = 33,971.74/x
  3. Step 3: Cross multiply
    100,537.90x = 150,744.93 × 33,971.74
  4. Step 4: Simplify right side
    100,537.90x = 5,121,067,568.28
  5. Step 5: Solve for x
    x = 5,121,067,568.28/100,537.90
  6. Step 6: Final answer
    x = 50,936.69

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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.