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Finding the Fourth Proportional to 96,961, 145,405.49 and 33,764.90

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Solution

The fourth proportional to 96,961, 145,405.49 and 33,764.90 is: 50,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,961 : 145,405.49 = 33,764.90 : x
  2. Step 2: Convert to fraction form
    96,961/145,405.49 = 33,764.90/x
  3. Step 3: Cross multiply
    96,961x = 145,405.49 × 33,764.90
  4. Step 4: Simplify right side
    96,961x = 4,909,601,829.30
  5. Step 5: Solve for x
    x = 4,909,601,829.30/96,961
  6. Step 6: Final answer
    x = 50,634.81

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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.