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Finding the Fourth Proportional to 33,853.47, 50,504.59 and 32,983.53

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Solution

The fourth proportional to 33,853.47, 50,504.59 and 32,983.53 is: 49,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,853.47 : 50,504.59 = 32,983.53 : x
  2. Step 2: Convert to fraction form
    33,853.47/50,504.59 = 32,983.53/x
  3. Step 3: Cross multiply
    33,853.47x = 50,504.59 × 32,983.53
  4. Step 4: Simplify right side
    33,853.47x = 1,665,819,659.40
  5. Step 5: Solve for x
    x = 1,665,819,659.40/33,853.47
  6. Step 6: Final answer
    x = 49,206.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.