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Finding the Fourth Proportional to 33,311.66, 49,957.97 and 9,290.43

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Solution

The fourth proportional to 33,311.66, 49,957.97 and 9,290.43 is: 13,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,311.66 : 49,957.97 = 9,290.43 : x
  2. Step 2: Convert to fraction form
    33,311.66/49,957.97 = 9,290.43/x
  3. Step 3: Cross multiply
    33,311.66x = 49,957.97 × 9,290.43
  4. Step 4: Simplify right side
    33,311.66x = 464,130,976.77
  5. Step 5: Solve for x
    x = 464,130,976.77/33,311.66
  6. Step 6: Final answer
    x = 13,932.99

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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.