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Finding the Fourth Proportional to 78,419.71, 117,563.44 and 34,013.03

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Solution

The fourth proportional to 78,419.71, 117,563.44 and 34,013.03 is: 50,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.71 : 117,563.44 = 34,013.03 : x
  2. Step 2: Convert to fraction form
    78,419.71/117,563.44 = 34,013.03/x
  3. Step 3: Cross multiply
    78,419.71x = 117,563.44 × 34,013.03
  4. Step 4: Simplify right side
    78,419.71x = 3,998,688,138.77
  5. Step 5: Solve for x
    x = 3,998,688,138.77/78,419.71
  6. Step 6: Final answer
    x = 50,990.86

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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.