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Finding the Fourth Proportional to 100,422.68, 150,538.32 and 33,828.53

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Solution

The fourth proportional to 100,422.68, 150,538.32 and 33,828.53 is: 50,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422.68 : 150,538.32 = 33,828.53 : x
  2. Step 2: Convert to fraction form
    100,422.68/150,538.32 = 33,828.53/x
  3. Step 3: Cross multiply
    100,422.68x = 150,538.32 × 33,828.53
  4. Step 4: Simplify right side
    100,422.68x = 5,092,489,321.58
  5. Step 5: Solve for x
    x = 5,092,489,321.58/100,422.68
  6. Step 6: Final answer
    x = 50,710.55

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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.