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Finding the Fourth Proportional to 78,422.99, 117,568.35 and 34,016.31

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Solution

The fourth proportional to 78,422.99, 117,568.35 and 34,016.31 is: 50,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,422.99 : 117,568.35 = 34,016.31 : x
  2. Step 2: Convert to fraction form
    78,422.99/117,568.35 = 34,016.31/x
  3. Step 3: Cross multiply
    78,422.99x = 117,568.35 × 34,016.31
  4. Step 4: Simplify right side
    78,422.99x = 3,999,241,439.79
  5. Step 5: Solve for x
    x = 3,999,241,439.79/78,422.99
  6. Step 6: Final answer
    x = 50,995.78

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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.