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Finding the Fourth Proportional to 49,745.60, 68,634.24 and 29,586.32

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Solution

The fourth proportional to 49,745.60, 68,634.24 and 29,586.32 is: 40,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,745.60 : 68,634.24 = 29,586.32 : x
  2. Step 2: Convert to fraction form
    49,745.60/68,634.24 = 29,586.32/x
  3. Step 3: Cross multiply
    49,745.60x = 68,634.24 × 29,586.32
  4. Step 4: Simplify right side
    49,745.60x = 2,030,634,587.60
  5. Step 5: Solve for x
    x = 2,030,634,587.60/49,745.60
  6. Step 6: Final answer
    x = 40,820.39

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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.