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Finding the Fourth Proportional to 38,950.56, 53,638.74 and 33,843.78

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Solution

The fourth proportional to 38,950.56, 53,638.74 and 33,843.78 is: 46,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,950.56 : 53,638.74 = 33,843.78 : x
  2. Step 2: Convert to fraction form
    38,950.56/53,638.74 = 33,843.78/x
  3. Step 3: Cross multiply
    38,950.56x = 53,638.74 × 33,843.78
  4. Step 4: Simplify right side
    38,950.56x = 1,815,337,716.04
  5. Step 5: Solve for x
    x = 1,815,337,716.04/38,950.56
  6. Step 6: Final answer
    x = 46,606.20

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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.