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Finding the Fourth Proportional to 78,203.32, 117,321.38 and 33,836.38

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Solution

The fourth proportional to 78,203.32, 117,321.38 and 33,836.38 is: 50,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,203.32 : 117,321.38 = 33,836.38 : x
  2. Step 2: Convert to fraction form
    78,203.32/117,321.38 = 33,836.38/x
  3. Step 3: Cross multiply
    78,203.32x = 117,321.38 × 33,836.38
  4. Step 4: Simplify right side
    78,203.32x = 3,969,730,795.80
  5. Step 5: Solve for x
    x = 3,969,730,795.80/78,203.32
  6. Step 6: Final answer
    x = 50,761.67

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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.