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Finding the Fourth Proportional to 33,970, 46,879.32 and 19,066

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Solution

The fourth proportional to 33,970, 46,879.32 and 19,066 is: 26,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970 : 46,879.32 = 19,066 : x
  2. Step 2: Convert to fraction form
    33,970/46,879.32 = 19,066/x
  3. Step 3: Cross multiply
    33,970x = 46,879.32 × 19,066
  4. Step 4: Simplify right side
    33,970x = 893,801,115.12
  5. Step 5: Solve for x
    x = 893,801,115.12/33,970
  6. Step 6: Final answer
    x = 26,311.48

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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.