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Finding the Fourth Proportional to 53,198.34, 79,797.51 and 33,427.86

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Solution

The fourth proportional to 53,198.34, 79,797.51 and 33,427.86 is: 50,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198.34 : 79,797.51 = 33,427.86 : x
  2. Step 2: Convert to fraction form
    53,198.34/79,797.51 = 33,427.86/x
  3. Step 3: Cross multiply
    53,198.34x = 79,797.51 × 33,427.86
  4. Step 4: Simplify right side
    53,198.34x = 2,667,459,992.63
  5. Step 5: Solve for x
    x = 2,667,459,992.63/53,198.34
  6. Step 6: Final answer
    x = 50,141.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.