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Finding the Fourth Proportional to 49,506.26, 68,317.74 and 27,995.67

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Solution

The fourth proportional to 49,506.26, 68,317.74 and 27,995.67 is: 38,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,506.26 : 68,317.74 = 27,995.67 : x
  2. Step 2: Convert to fraction form
    49,506.26/68,317.74 = 27,995.67/x
  3. Step 3: Cross multiply
    49,506.26x = 68,317.74 × 27,995.67
  4. Step 4: Simplify right side
    49,506.26x = 1,912,600,904.19
  5. Step 5: Solve for x
    x = 1,912,600,904.19/49,506.26
  6. Step 6: Final answer
    x = 38,633.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.