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Finding the Fourth Proportional to 76,266, 114,289.98 and 33,520.20

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Solution

The fourth proportional to 76,266, 114,289.98 and 33,520.20 is: 50,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,266 : 114,289.98 = 33,520.20 : x
  2. Step 2: Convert to fraction form
    76,266/114,289.98 = 33,520.20/x
  3. Step 3: Cross multiply
    76,266x = 114,289.98 × 33,520.20
  4. Step 4: Simplify right side
    76,266x = 3,831,022,987.60
  5. Step 5: Solve for x
    x = 3,831,022,987.60/76,266
  6. Step 6: Final answer
    x = 50,232.38

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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.