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Finding the Fourth Proportional to 49,874.67, 74,824.20 and 16,594.65

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Solution

The fourth proportional to 49,874.67, 74,824.20 and 16,594.65 is: 24,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874.67 : 74,824.20 = 16,594.65 : x
  2. Step 2: Convert to fraction form
    49,874.67/74,824.20 = 16,594.65/x
  3. Step 3: Cross multiply
    49,874.67x = 74,824.20 × 16,594.65
  4. Step 4: Simplify right side
    49,874.67x = 1,241,681,410.53
  5. Step 5: Solve for x
    x = 1,241,681,410.53/49,874.67
  6. Step 6: Final answer
    x = 24,896.03

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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.