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Finding the Fourth Proportional to 34,049.64, 51,074.46 and 10,677.90

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Solution

The fourth proportional to 34,049.64, 51,074.46 and 10,677.90 is: 16,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049.64 : 51,074.46 = 10,677.90 : x
  2. Step 2: Convert to fraction form
    34,049.64/51,074.46 = 10,677.90/x
  3. Step 3: Cross multiply
    34,049.64x = 51,074.46 × 10,677.90
  4. Step 4: Simplify right side
    34,049.64x = 545,367,976.43
  5. Step 5: Solve for x
    x = 545,367,976.43/34,049.64
  6. Step 6: Final answer
    x = 16,016.85

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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.