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Finding the Fourth Proportional to 82,891.50, 124,334.01 and 23,724.78

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Solution

The fourth proportional to 82,891.50, 124,334.01 and 23,724.78 is: 35,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,891.50 : 124,334.01 = 23,724.78 : x
  2. Step 2: Convert to fraction form
    82,891.50/124,334.01 = 23,724.78/x
  3. Step 3: Cross multiply
    82,891.50x = 124,334.01 × 23,724.78
  4. Step 4: Simplify right side
    82,891.50x = 2,949,797,033.77
  5. Step 5: Solve for x
    x = 2,949,797,033.77/82,891.50
  6. Step 6: Final answer
    x = 35,586.24

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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.