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Finding the Fourth Proportional to 100,411.89, 150,512.73 and 33,829.01

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Solution

The fourth proportional to 100,411.89, 150,512.73 and 33,829.01 is: 50,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411.89 : 150,512.73 = 33,829.01 : x
  2. Step 2: Convert to fraction form
    100,411.89/150,512.73 = 33,829.01/x
  3. Step 3: Cross multiply
    100,411.89x = 150,512.73 × 33,829.01
  4. Step 4: Simplify right side
    100,411.89x = 5,091,696,523.59
  5. Step 5: Solve for x
    x = 5,091,696,523.59/100,411.89
  6. Step 6: Final answer
    x = 50,708.11

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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.