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Finding the Fourth Proportional to 49,504.72, 74,260.44 and 16,216

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Solution

The fourth proportional to 49,504.72, 74,260.44 and 16,216 is: 24,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,504.72 : 74,260.44 = 16,216 : x
  2. Step 2: Convert to fraction form
    49,504.72/74,260.44 = 16,216/x
  3. Step 3: Cross multiply
    49,504.72x = 74,260.44 × 16,216
  4. Step 4: Simplify right side
    49,504.72x = 1,204,207,295.04
  5. Step 5: Solve for x
    x = 1,204,207,295.04/49,504.72
  6. Step 6: Final answer
    x = 24,325.10

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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.