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Finding the Fourth Proportional to 78,419.95, 117,563.79 and 34,013.25

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Solution

The fourth proportional to 78,419.95, 117,563.79 and 34,013.25 is: 50,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.95 : 117,563.79 = 34,013.25 : x
  2. Step 2: Convert to fraction form
    78,419.95/117,563.79 = 34,013.25/x
  3. Step 3: Cross multiply
    78,419.95x = 117,563.79 × 34,013.25
  4. Step 4: Simplify right side
    78,419.95x = 3,998,726,580.22
  5. Step 5: Solve for x
    x = 3,998,726,580.22/78,419.95
  6. Step 6: Final answer
    x = 50,991.19

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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.