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Finding the Fourth Proportional to 96,961.50, 145,406.25 and 33,765.40

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Solution

The fourth proportional to 96,961.50, 145,406.25 and 33,765.40 is: 50,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,961.50 : 145,406.25 = 33,765.40 : x
  2. Step 2: Convert to fraction form
    96,961.50/145,406.25 = 33,765.40/x
  3. Step 3: Cross multiply
    96,961.50x = 145,406.25 × 33,765.40
  4. Step 4: Simplify right side
    96,961.50x = 4,909,700,193.75
  5. Step 5: Solve for x
    x = 4,909,700,193.75/96,961.50
  6. Step 6: Final answer
    x = 50,635.56

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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.