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Finding the Fourth Proportional to 100,549.23, 150,824.25 and 33,989.51

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Solution

The fourth proportional to 100,549.23, 150,824.25 and 33,989.51 is: 50,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,549.23 : 150,824.25 = 33,989.51 : x
  2. Step 2: Convert to fraction form
    100,549.23/150,824.25 = 33,989.51/x
  3. Step 3: Cross multiply
    100,549.23x = 150,824.25 × 33,989.51
  4. Step 4: Simplify right side
    100,549.23x = 5,126,441,599.50
  5. Step 5: Solve for x
    x = 5,126,441,599.50/100,549.23
  6. Step 6: Final answer
    x = 50,984.39

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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.