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Finding the Fourth Proportional to 83,683.60, 125,416.05 and 33,722.80

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Solution

The fourth proportional to 83,683.60, 125,416.05 and 33,722.80 is: 50,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,683.60 : 125,416.05 = 33,722.80 : x
  2. Step 2: Convert to fraction form
    83,683.60/125,416.05 = 33,722.80/x
  3. Step 3: Cross multiply
    83,683.60x = 125,416.05 × 33,722.80
  4. Step 4: Simplify right side
    83,683.60x = 4,229,380,370.94
  5. Step 5: Solve for x
    x = 4,229,380,370.94/83,683.60
  6. Step 6: Final answer
    x = 50,540.13

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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.