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Finding the Fourth Proportional to 41,176, 61,846.65 and 24,568.44

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Solution

The fourth proportional to 41,176, 61,846.65 and 24,568.44 is: 36,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,176 : 61,846.65 = 24,568.44 : x
  2. Step 2: Convert to fraction form
    41,176/61,846.65 = 24,568.44/x
  3. Step 3: Cross multiply
    41,176x = 61,846.65 × 24,568.44
  4. Step 4: Simplify right side
    41,176x = 1,519,475,709.73
  5. Step 5: Solve for x
    x = 1,519,475,709.73/41,176
  6. Step 6: Final answer
    x = 36,901.97

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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.