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Finding the Fourth Proportional to 33,849.64, 46,667.70 and 27,777.64

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Solution

The fourth proportional to 33,849.64, 46,667.70 and 27,777.64 is: 38,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,849.64 : 46,667.70 = 27,777.64 : x
  2. Step 2: Convert to fraction form
    33,849.64/46,667.70 = 27,777.64/x
  3. Step 3: Cross multiply
    33,849.64x = 46,667.70 × 27,777.64
  4. Step 4: Simplify right side
    33,849.64x = 1,296,318,570.23
  5. Step 5: Solve for x
    x = 1,296,318,570.23/33,849.64
  6. Step 6: Final answer
    x = 38,296.38

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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.