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Finding the Fourth Proportional to 34,050.42, 51,083.81 and 10,676.86

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Solution

The fourth proportional to 34,050.42, 51,083.81 and 10,676.86 is: 16,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,050.42 : 51,083.81 = 10,676.86 : x
  2. Step 2: Convert to fraction form
    34,050.42/51,083.81 = 10,676.86/x
  3. Step 3: Cross multiply
    34,050.42x = 51,083.81 × 10,676.86
  4. Step 4: Simplify right side
    34,050.42x = 545,414,687.64
  5. Step 5: Solve for x
    x = 545,414,687.64/34,050.42
  6. Step 6: Final answer
    x = 16,017.85

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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.