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Finding the Fourth Proportional to 76,449.54, 114,627.72 and 34,321.44

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Solution

The fourth proportional to 76,449.54, 114,627.72 and 34,321.44 is: 51,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,449.54 : 114,627.72 = 34,321.44 : x
  2. Step 2: Convert to fraction form
    76,449.54/114,627.72 = 34,321.44/x
  3. Step 3: Cross multiply
    76,449.54x = 114,627.72 × 34,321.44
  4. Step 4: Simplify right side
    76,449.54x = 3,934,188,414.32
  5. Step 5: Solve for x
    x = 3,934,188,414.32/76,449.54
  6. Step 6: Final answer
    x = 51,461.24

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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.