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Finding the Fourth Proportional to 76,467.97, 114,638.78 and 33,742.97

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Solution

The fourth proportional to 76,467.97, 114,638.78 and 33,742.97 is: 50,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467.97 : 114,638.78 = 33,742.97 : x
  2. Step 2: Convert to fraction form
    76,467.97/114,638.78 = 33,742.97/x
  3. Step 3: Cross multiply
    76,467.97x = 114,638.78 × 33,742.97
  4. Step 4: Simplify right side
    76,467.97x = 3,868,252,745.66
  5. Step 5: Solve for x
    x = 3,868,252,745.66/76,467.97
  6. Step 6: Final answer
    x = 50,586.58

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1.5x scale

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.