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Finding the Fourth Proportional to 78,422.36, 117,567.42 and 34,015.68

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Solution

The fourth proportional to 78,422.36, 117,567.42 and 34,015.68 is: 50,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,422.36 : 117,567.42 = 34,015.68 : x
  2. Step 2: Convert to fraction form
    78,422.36/117,567.42 = 34,015.68/x
  3. Step 3: Cross multiply
    78,422.36x = 117,567.42 × 34,015.68
  4. Step 4: Simplify right side
    78,422.36x = 3,999,135,737.15
  5. Step 5: Solve for x
    x = 3,999,135,737.15/78,422.36
  6. Step 6: Final answer
    x = 50,994.84

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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.