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Finding the Fourth Proportional to 33,196.38, 45,855.76 and 30,834.42

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Solution

The fourth proportional to 33,196.38, 45,855.76 and 30,834.42 is: 42,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.38 : 45,855.76 = 30,834.42 : x
  2. Step 2: Convert to fraction form
    33,196.38/45,855.76 = 30,834.42/x
  3. Step 3: Cross multiply
    33,196.38x = 45,855.76 × 30,834.42
  4. Step 4: Simplify right side
    33,196.38x = 1,413,935,763.26
  5. Step 5: Solve for x
    x = 1,413,935,763.26/33,196.38
  6. Step 6: Final answer
    x = 42,593.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.