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Finding the Fourth Proportional to 33,599.50, 50,276.22 and 31,797.07

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Solution

The fourth proportional to 33,599.50, 50,276.22 and 31,797.07 is: 47,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,599.50 : 50,276.22 = 31,797.07 : x
  2. Step 2: Convert to fraction form
    33,599.50/50,276.22 = 31,797.07/x
  3. Step 3: Cross multiply
    33,599.50x = 50,276.22 × 31,797.07
  4. Step 4: Simplify right side
    33,599.50x = 1,598,636,486.68
  5. Step 5: Solve for x
    x = 1,598,636,486.68/33,599.50
  6. Step 6: Final answer
    x = 47,579.17

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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.