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Finding the Fourth Proportional to 100,548.72, 150,823.53 and 33,989.20

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Solution

The fourth proportional to 100,548.72, 150,823.53 and 33,989.20 is: 50,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,548.72 : 150,823.53 = 33,989.20 : x
  2. Step 2: Convert to fraction form
    100,548.72/150,823.53 = 33,989.20/x
  3. Step 3: Cross multiply
    100,548.72x = 150,823.53 × 33,989.20
  4. Step 4: Simplify right side
    100,548.72x = 5,126,371,125.88
  5. Step 5: Solve for x
    x = 5,126,371,125.88/100,548.72
  6. Step 6: Final answer
    x = 50,983.95

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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.