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Finding the Fourth Proportional to 83,854.88, 125,694.82 and 33,969.41

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Solution

The fourth proportional to 83,854.88, 125,694.82 and 33,969.41 is: 50,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,854.88 : 125,694.82 = 33,969.41 : x
  2. Step 2: Convert to fraction form
    83,854.88/125,694.82 = 33,969.41/x
  3. Step 3: Cross multiply
    83,854.88x = 125,694.82 × 33,969.41
  4. Step 4: Simplify right side
    83,854.88x = 4,269,778,719.41
  5. Step 5: Solve for x
    x = 4,269,778,719.41/83,854.88
  6. Step 6: Final answer
    x = 50,918.67

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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.