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Finding the Fourth Proportional to 33,969.38, 46,877.74 and 19,819.49

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Solution

The fourth proportional to 33,969.38, 46,877.74 and 19,819.49 is: 27,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,969.38 : 46,877.74 = 19,819.49 : x
  2. Step 2: Convert to fraction form
    33,969.38/46,877.74 = 19,819.49/x
  3. Step 3: Cross multiply
    33,969.38x = 46,877.74 × 19,819.49
  4. Step 4: Simplify right side
    33,969.38x = 929,092,615.22
  5. Step 5: Solve for x
    x = 929,092,615.22/33,969.38
  6. Step 6: Final answer
    x = 27,350.89

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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.