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Finding the Fourth Proportional to 97,960.68, 146,811.42 and 35,571.24

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Solution

The fourth proportional to 97,960.68, 146,811.42 and 35,571.24 is: 53,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,960.68 : 146,811.42 = 35,571.24 : x
  2. Step 2: Convert to fraction form
    97,960.68/146,811.42 = 35,571.24/x
  3. Step 3: Cross multiply
    97,960.68x = 146,811.42 × 35,571.24
  4. Step 4: Simplify right side
    97,960.68x = 5,222,264,255.56
  5. Step 5: Solve for x
    x = 5,222,264,255.56/97,960.68
  6. Step 6: Final answer
    x = 53,309.80

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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.