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Finding the Fourth Proportional to 29,745.36, 41,049.88 and 17,806.38

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Solution

The fourth proportional to 29,745.36, 41,049.88 and 17,806.38 is: 24,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,745.36 : 41,049.88 = 17,806.38 : x
  2. Step 2: Convert to fraction form
    29,745.36/41,049.88 = 17,806.38/x
  3. Step 3: Cross multiply
    29,745.36x = 41,049.88 × 17,806.38
  4. Step 4: Simplify right side
    29,745.36x = 730,949,762.23
  5. Step 5: Solve for x
    x = 730,949,762.23/29,745.36
  6. Step 6: Final answer
    x = 24,573.57

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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.