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Finding the Fourth Proportional to 49,442.46, 74,167.80 and 16,161.80

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Solution

The fourth proportional to 49,442.46, 74,167.80 and 16,161.80 is: 24,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442.46 : 74,167.80 = 16,161.80 : x
  2. Step 2: Convert to fraction form
    49,442.46/74,167.80 = 16,161.80/x
  3. Step 3: Cross multiply
    49,442.46x = 74,167.80 × 16,161.80
  4. Step 4: Simplify right side
    49,442.46x = 1,198,685,150.04
  5. Step 5: Solve for x
    x = 1,198,685,150.04/49,442.46
  6. Step 6: Final answer
    x = 24,244.04

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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.