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Finding the Fourth Proportional to 96,962, 145,407 and 33,765.90

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Solution

The fourth proportional to 96,962, 145,407 and 33,765.90 is: 50,636.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,962 : 145,407 = 33,765.90 : x
  2. Step 2: Convert to fraction form
    96,962/145,407 = 33,765.90/x
  3. Step 3: Cross multiply
    96,962x = 145,407 × 33,765.90
  4. Step 4: Simplify right side
    96,962x = 4,909,798,221.30
  5. Step 5: Solve for x
    x = 4,909,798,221.30/96,962
  6. Step 6: Final answer
    x = 50,636.31

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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.