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Finding the Fourth Proportional to 78,205.07, 117,324.02 and 33,838.13

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Solution

The fourth proportional to 78,205.07, 117,324.02 and 33,838.13 is: 50,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,205.07 : 117,324.02 = 33,838.13 : x
  2. Step 2: Convert to fraction form
    78,205.07/117,324.02 = 33,838.13/x
  3. Step 3: Cross multiply
    78,205.07x = 117,324.02 × 33,838.13
  4. Step 4: Simplify right side
    78,205.07x = 3,970,025,440.88
  5. Step 5: Solve for x
    x = 3,970,025,440.88/78,205.07
  6. Step 6: Final answer
    x = 50,764.30

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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.