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Finding the Fourth Proportional to 33,112.74, 49,357.17 and 30,455.54

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Solution

The fourth proportional to 33,112.74, 49,357.17 and 30,455.54 is: 45,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,112.74 : 49,357.17 = 30,455.54 : x
  2. Step 2: Convert to fraction form
    33,112.74/49,357.17 = 30,455.54/x
  3. Step 3: Cross multiply
    33,112.74x = 49,357.17 × 30,455.54
  4. Step 4: Simplify right side
    33,112.74x = 1,503,199,265.22
  5. Step 5: Solve for x
    x = 1,503,199,265.22/33,112.74
  6. Step 6: Final answer
    x = 45,396.40

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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.