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Finding the Fourth Proportional to 100,544.72, 150,817.53 and 33,985.20

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Solution

The fourth proportional to 100,544.72, 150,817.53 and 33,985.20 is: 50,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,544.72 : 150,817.53 = 33,985.20 : x
  2. Step 2: Convert to fraction form
    100,544.72/150,817.53 = 33,985.20/x
  3. Step 3: Cross multiply
    100,544.72x = 150,817.53 × 33,985.20
  4. Step 4: Simplify right side
    100,544.72x = 5,125,563,920.56
  5. Step 5: Solve for x
    x = 5,125,563,920.56/100,544.72
  6. Step 6: Final answer
    x = 50,977.95

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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.