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Finding the Fourth Proportional to 45,778.68, 68,660.34 and 12,939

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Solution

The fourth proportional to 45,778.68, 68,660.34 and 12,939 is: 19,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,778.68 : 68,660.34 = 12,939 : x
  2. Step 2: Convert to fraction form
    45,778.68/68,660.34 = 12,939/x
  3. Step 3: Cross multiply
    45,778.68x = 68,660.34 × 12,939
  4. Step 4: Simplify right side
    45,778.68x = 888,396,139.26
  5. Step 5: Solve for x
    x = 888,396,139.26/45,778.68
  6. Step 6: Final answer
    x = 19,406.33

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