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Finding the Fourth Proportional to 49,505.10, 74,269.17 and 16,223.15

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Solution

The fourth proportional to 49,505.10, 74,269.17 and 16,223.15 is: 24,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,505.10 : 74,269.17 = 16,223.15 : x
  2. Step 2: Convert to fraction form
    49,505.10/74,269.17 = 16,223.15/x
  3. Step 3: Cross multiply
    49,505.10x = 74,269.17 × 16,223.15
  4. Step 4: Simplify right side
    49,505.10x = 1,204,879,513.94
  5. Step 5: Solve for x
    x = 1,204,879,513.94/49,505.10
  6. Step 6: Final answer
    x = 24,338.49

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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.