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Finding the Fourth Proportional to 100,394.04, 150,604.94 and 33,853.20

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Solution

The fourth proportional to 100,394.04, 150,604.94 and 33,853.20 is: 50,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,394.04 : 150,604.94 = 33,853.20 : x
  2. Step 2: Convert to fraction form
    100,394.04/150,604.94 = 33,853.20/x
  3. Step 3: Cross multiply
    100,394.04x = 150,604.94 × 33,853.20
  4. Step 4: Simplify right side
    100,394.04x = 5,098,459,154.81
  5. Step 5: Solve for x
    x = 5,098,459,154.81/100,394.04
  6. Step 6: Final answer
    x = 50,784.48

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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.