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Finding the Fourth Proportional to 75,694.50, 113,539.59 and 23,096.34

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Solution

The fourth proportional to 75,694.50, 113,539.59 and 23,096.34 is: 34,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,694.50 : 113,539.59 = 23,096.34 : x
  2. Step 2: Convert to fraction form
    75,694.50/113,539.59 = 23,096.34/x
  3. Step 3: Cross multiply
    75,694.50x = 113,539.59 × 23,096.34
  4. Step 4: Simplify right side
    75,694.50x = 2,622,348,974.10
  5. Step 5: Solve for x
    x = 2,622,348,974.10/75,694.50
  6. Step 6: Final answer
    x = 34,643.85

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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.