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Finding the Fourth Proportional to 100,824.30, 151,306.12 and 41,660.48

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Solution

The fourth proportional to 100,824.30, 151,306.12 and 41,660.48 is: 62,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,824.30 : 151,306.12 = 41,660.48 : x
  2. Step 2: Convert to fraction form
    100,824.30/151,306.12 = 41,660.48/x
  3. Step 3: Cross multiply
    100,824.30x = 151,306.12 × 41,660.48
  4. Step 4: Simplify right side
    100,824.30x = 6,303,485,586.14
  5. Step 5: Solve for x
    x = 6,303,485,586.14/100,824.30
  6. Step 6: Final answer
    x = 62,519.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.