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Finding the Fourth Proportional to 39,667.38, 54,739.17 and 21,762

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Solution

The fourth proportional to 39,667.38, 54,739.17 and 21,762 is: 30,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,667.38 : 54,739.17 = 21,762 : x
  2. Step 2: Convert to fraction form
    39,667.38/54,739.17 = 21,762/x
  3. Step 3: Cross multiply
    39,667.38x = 54,739.17 × 21,762
  4. Step 4: Simplify right side
    39,667.38x = 1,191,233,817.54
  5. Step 5: Solve for x
    x = 1,191,233,817.54/39,667.38
  6. Step 6: Final answer
    x = 30,030.56

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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.