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Finding the Fourth Proportional to 33,949.44, 46,712.53 and 27,877.48

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Solution

The fourth proportional to 33,949.44, 46,712.53 and 27,877.48 is: 38,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,949.44 : 46,712.53 = 27,877.48 : x
  2. Step 2: Convert to fraction form
    33,949.44/46,712.53 = 27,877.48/x
  3. Step 3: Cross multiply
    33,949.44x = 46,712.53 × 27,877.48
  4. Step 4: Simplify right side
    33,949.44x = 1,302,227,538.89
  5. Step 5: Solve for x
    x = 1,302,227,538.89/33,949.44
  6. Step 6: Final answer
    x = 38,357.85

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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.