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Finding the Fourth Proportional to 70,081.74, 96,712.40 and 39,867

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Solution

The fourth proportional to 70,081.74, 96,712.40 and 39,867 is: 55,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,081.74 : 96,712.40 = 39,867 : x
  2. Step 2: Convert to fraction form
    70,081.74/96,712.40 = 39,867/x
  3. Step 3: Cross multiply
    70,081.74x = 96,712.40 × 39,867
  4. Step 4: Simplify right side
    70,081.74x = 3,855,633,250.80
  5. Step 5: Solve for x
    x = 3,855,633,250.80/70,081.74
  6. Step 6: Final answer
    x = 55,016.23

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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.