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Finding the Fourth Proportional to 78,204.57, 117,323.26 and 33,837.63

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Solution

The fourth proportional to 78,204.57, 117,323.26 and 33,837.63 is: 50,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,204.57 : 117,323.26 = 33,837.63 : x
  2. Step 2: Convert to fraction form
    78,204.57/117,323.26 = 33,837.63/x
  3. Step 3: Cross multiply
    78,204.57x = 117,323.26 × 33,837.63
  4. Step 4: Simplify right side
    78,204.57x = 3,969,941,062.27
  5. Step 5: Solve for x
    x = 3,969,941,062.27/78,204.57
  6. Step 6: Final answer
    x = 50,763.54

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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.