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Finding the Fourth Proportional to 83,599.21, 125,397.19 and 20,419.75

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Solution

The fourth proportional to 83,599.21, 125,397.19 and 20,419.75 is: 30,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,599.21 : 125,397.19 = 20,419.75 : x
  2. Step 2: Convert to fraction form
    83,599.21/125,397.19 = 20,419.75/x
  3. Step 3: Cross multiply
    83,599.21x = 125,397.19 × 20,419.75
  4. Step 4: Simplify right side
    83,599.21x = 2,560,579,270.50
  5. Step 5: Solve for x
    x = 2,560,579,270.50/83,599.21
  6. Step 6: Final answer
    x = 30,629.23

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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.