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Finding the Fourth Proportional to 96,902.62, 145,410.15 and 40,738.30

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Solution

The fourth proportional to 96,902.62, 145,410.15 and 40,738.30 is: 61,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,902.62 : 145,410.15 = 40,738.30 : x
  2. Step 2: Convert to fraction form
    96,902.62/145,410.15 = 40,738.30/x
  3. Step 3: Cross multiply
    96,902.62x = 145,410.15 × 40,738.30
  4. Step 4: Simplify right side
    96,902.62x = 5,923,762,313.75
  5. Step 5: Solve for x
    x = 5,923,762,313.75/96,902.62
  6. Step 6: Final answer
    x = 61,131.09

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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.