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Finding the Fourth Proportional to 78,419.69, 117,563.41 and 34,013

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Solution

The fourth proportional to 78,419.69, 117,563.41 and 34,013 is: 50,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.69 : 117,563.41 = 34,013 : x
  2. Step 2: Convert to fraction form
    78,419.69/117,563.41 = 34,013/x
  3. Step 3: Cross multiply
    78,419.69x = 117,563.41 × 34,013
  4. Step 4: Simplify right side
    78,419.69x = 3,998,684,264.33
  5. Step 5: Solve for x
    x = 3,998,684,264.33/78,419.69
  6. Step 6: Final answer
    x = 50,990.82

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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.