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Finding the Fourth Proportional to 100,291.21, 150,459.52 and 33,729.51

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Solution

The fourth proportional to 100,291.21, 150,459.52 and 33,729.51 is: 50,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,291.21 : 150,459.52 = 33,729.51 : x
  2. Step 2: Convert to fraction form
    100,291.21/150,459.52 = 33,729.51/x
  3. Step 3: Cross multiply
    100,291.21x = 150,459.52 × 33,729.51
  4. Step 4: Simplify right side
    100,291.21x = 5,074,926,176.26
  5. Step 5: Solve for x
    x = 5,074,926,176.26/100,291.21
  6. Step 6: Final answer
    x = 50,601.90

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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.