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Finding the Fourth Proportional to 39,682.12, 54,762 and 21,778.80

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Solution

The fourth proportional to 39,682.12, 54,762 and 21,778.80 is: 30,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,682.12 : 54,762 = 21,778.80 : x
  2. Step 2: Convert to fraction form
    39,682.12/54,762 = 21,778.80/x
  3. Step 3: Cross multiply
    39,682.12x = 54,762 × 21,778.80
  4. Step 4: Simplify right side
    39,682.12x = 1,192,650,645.60
  5. Step 5: Solve for x
    x = 1,192,650,645.60/39,682.12
  6. Step 6: Final answer
    x = 30,055.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.