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Finding the Fourth Proportional to 33,879.38, 46,775.48 and 21,785.31

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Solution

The fourth proportional to 33,879.38, 46,775.48 and 21,785.31 is: 30,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,879.38 : 46,775.48 = 21,785.31 : x
  2. Step 2: Convert to fraction form
    33,879.38/46,775.48 = 21,785.31/x
  3. Step 3: Cross multiply
    33,879.38x = 46,775.48 × 21,785.31
  4. Step 4: Simplify right side
    33,879.38x = 1,019,018,223.27
  5. Step 5: Solve for x
    x = 1,019,018,223.27/33,879.38
  6. Step 6: Final answer
    x = 30,077.83

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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.