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Finding the Fourth Proportional to 49,093.48, 73,640.96 and 13,554.48

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Solution

The fourth proportional to 49,093.48, 73,640.96 and 13,554.48 is: 20,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,093.48 : 73,640.96 = 13,554.48 : x
  2. Step 2: Convert to fraction form
    49,093.48/73,640.96 = 13,554.48/x
  3. Step 3: Cross multiply
    49,093.48x = 73,640.96 × 13,554.48
  4. Step 4: Simplify right side
    49,093.48x = 998,164,919.50
  5. Step 5: Solve for x
    x = 998,164,919.50/49,093.48
  6. Step 6: Final answer
    x = 20,331.92

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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.