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Finding the Fourth Proportional to 83,452.34, 125,210.51 and 50,195.97

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Solution

The fourth proportional to 83,452.34, 125,210.51 and 50,195.97 is: 75,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,452.34 : 125,210.51 = 50,195.97 : x
  2. Step 2: Convert to fraction form
    83,452.34/125,210.51 = 50,195.97/x
  3. Step 3: Cross multiply
    83,452.34x = 125,210.51 × 50,195.97
  4. Step 4: Simplify right side
    83,452.34x = 6,285,062,940.90
  5. Step 5: Solve for x
    x = 6,285,062,940.90/83,452.34
  6. Step 6: Final answer
    x = 75,313.20

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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.