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Finding the Fourth Proportional to 34,052.28, 51,067.42 and 12,410.66

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Solution

The fourth proportional to 34,052.28, 51,067.42 and 12,410.66 is: 18,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,052.28 : 51,067.42 = 12,410.66 : x
  2. Step 2: Convert to fraction form
    34,052.28/51,067.42 = 12,410.66/x
  3. Step 3: Cross multiply
    34,052.28x = 51,067.42 × 12,410.66
  4. Step 4: Simplify right side
    34,052.28x = 633,780,386.70
  5. Step 5: Solve for x
    x = 633,780,386.70/34,052.28
  6. Step 6: Final answer
    x = 18,611.98

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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.