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Finding the Fourth Proportional to 100,436.28, 150,549.30 and 33,853.40

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Solution

The fourth proportional to 100,436.28, 150,549.30 and 33,853.40 is: 50,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,436.28 : 150,549.30 = 33,853.40 : x
  2. Step 2: Convert to fraction form
    100,436.28/150,549.30 = 33,853.40/x
  3. Step 3: Cross multiply
    100,436.28x = 150,549.30 × 33,853.40
  4. Step 4: Simplify right side
    100,436.28x = 5,096,605,484.43
  5. Step 5: Solve for x
    x = 5,096,605,484.43/100,436.28
  6. Step 6: Final answer
    x = 50,744.66

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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.