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Finding the Fourth Proportional to 73,204.40, 109,774.20 and 33,741.20

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Solution

The fourth proportional to 73,204.40, 109,774.20 and 33,741.20 is: 50,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,204.40 : 109,774.20 = 33,741.20 : x
  2. Step 2: Convert to fraction form
    73,204.40/109,774.20 = 33,741.20/x
  3. Step 3: Cross multiply
    73,204.40x = 109,774.20 × 33,741.20
  4. Step 4: Simplify right side
    73,204.40x = 3,703,913,237.04
  5. Step 5: Solve for x
    x = 3,703,913,237.04/73,204.40
  6. Step 6: Final answer
    x = 50,596.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.