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Finding the Fourth Proportional to 75,852.42, 113,777.46 and 33,721.44

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Solution

The fourth proportional to 75,852.42, 113,777.46 and 33,721.44 is: 50,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,852.42 : 113,777.46 = 33,721.44 : x
  2. Step 2: Convert to fraction form
    75,852.42/113,777.46 = 33,721.44/x
  3. Step 3: Cross multiply
    75,852.42x = 113,777.46 × 33,721.44
  4. Step 4: Simplify right side
    75,852.42x = 3,836,739,790.74
  5. Step 5: Solve for x
    x = 3,836,739,790.74/75,852.42
  6. Step 6: Final answer
    x = 50,581.64

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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.