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Finding the Fourth Proportional to 99,509.26, 149,236.19 and 32,954.58

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Solution

The fourth proportional to 99,509.26, 149,236.19 and 32,954.58 is: 49,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,509.26 : 149,236.19 = 32,954.58 : x
  2. Step 2: Convert to fraction form
    99,509.26/149,236.19 = 32,954.58/x
  3. Step 3: Cross multiply
    99,509.26x = 149,236.19 × 32,954.58
  4. Step 4: Simplify right side
    99,509.26x = 4,918,015,797.48
  5. Step 5: Solve for x
    x = 4,918,015,797.48/99,509.26
  6. Step 6: Final answer
    x = 49,422.69

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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.