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Finding the Fourth Proportional to 45,682.76, 68,516.52 and 16,093.64

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Solution

The fourth proportional to 45,682.76, 68,516.52 and 16,093.64 is: 24,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,682.76 : 68,516.52 = 16,093.64 : x
  2. Step 2: Convert to fraction form
    45,682.76/68,516.52 = 16,093.64/x
  3. Step 3: Cross multiply
    45,682.76x = 68,516.52 × 16,093.64
  4. Step 4: Simplify right side
    45,682.76x = 1,102,680,206.93
  5. Step 5: Solve for x
    x = 1,102,680,206.93/45,682.76
  6. Step 6: Final answer
    x = 24,137.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.