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Finding the Fourth Proportional to 27,667.44, 38,135.54 and 19,603.80

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Solution

The fourth proportional to 27,667.44, 38,135.54 and 19,603.80 is: 27,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.44 : 38,135.54 = 19,603.80 : x
  2. Step 2: Convert to fraction form
    27,667.44/38,135.54 = 19,603.80/x
  3. Step 3: Cross multiply
    27,667.44x = 38,135.54 × 19,603.80
  4. Step 4: Simplify right side
    27,667.44x = 747,601,548.06
  5. Step 5: Solve for x
    x = 747,601,548.06/27,667.44
  6. Step 6: Final answer
    x = 27,020.99

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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.