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Finding the Fourth Proportional to 33,694.70, 50,583.65 and 21,214.70

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Solution

The fourth proportional to 33,694.70, 50,583.65 and 21,214.70 is: 31,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,694.70 : 50,583.65 = 21,214.70 : x
  2. Step 2: Convert to fraction form
    33,694.70/50,583.65 = 21,214.70/x
  3. Step 3: Cross multiply
    33,694.70x = 50,583.65 × 21,214.70
  4. Step 4: Simplify right side
    33,694.70x = 1,073,116,959.66
  5. Step 5: Solve for x
    x = 1,073,116,959.66/33,694.70
  6. Step 6: Final answer
    x = 31,848.24

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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.