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Finding the Fourth Proportional to 52,040.40, 71,796.54 and 34,145.34

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Solution

The fourth proportional to 52,040.40, 71,796.54 and 34,145.34 is: 47,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,040.40 : 71,796.54 = 34,145.34 : x
  2. Step 2: Convert to fraction form
    52,040.40/71,796.54 = 34,145.34/x
  3. Step 3: Cross multiply
    52,040.40x = 71,796.54 × 34,145.34
  4. Step 4: Simplify right side
    52,040.40x = 2,451,517,269.12
  5. Step 5: Solve for x
    x = 2,451,517,269.12/52,040.40
  6. Step 6: Final answer
    x = 47,107.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.