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Finding the Fourth Proportional to 78,203.07, 117,321.02 and 33,836.13

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Solution

The fourth proportional to 78,203.07, 117,321.02 and 33,836.13 is: 50,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,203.07 : 117,321.02 = 33,836.13 : x
  2. Step 2: Convert to fraction form
    78,203.07/117,321.02 = 33,836.13/x
  3. Step 3: Cross multiply
    78,203.07x = 117,321.02 × 33,836.13
  4. Step 4: Simplify right side
    78,203.07x = 3,969,689,115.27
  5. Step 5: Solve for x
    x = 3,969,689,115.27/78,203.07
  6. Step 6: Final answer
    x = 50,761.30

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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.