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Finding the Fourth Proportional to 33,945, 46,844.10 and 20,697

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Solution

The fourth proportional to 33,945, 46,844.10 and 20,697 is: 28,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945 : 46,844.10 = 20,697 : x
  2. Step 2: Convert to fraction form
    33,945/46,844.10 = 20,697/x
  3. Step 3: Cross multiply
    33,945x = 46,844.10 × 20,697
  4. Step 4: Simplify right side
    33,945x = 969,532,337.70
  5. Step 5: Solve for x
    x = 969,532,337.70/33,945
  6. Step 6: Final answer
    x = 28,561.86

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