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Finding the Fourth Proportional to 100,422.01, 150,629.37 and 30,299.50

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Solution

The fourth proportional to 100,422.01, 150,629.37 and 30,299.50 is: 45,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422.01 : 150,629.37 = 30,299.50 : x
  2. Step 2: Convert to fraction form
    100,422.01/150,629.37 = 30,299.50/x
  3. Step 3: Cross multiply
    100,422.01x = 150,629.37 × 30,299.50
  4. Step 4: Simplify right side
    100,422.01x = 4,563,994,596.32
  5. Step 5: Solve for x
    x = 4,563,994,596.32/100,422.01
  6. Step 6: Final answer
    x = 45,448.15

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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.