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Finding the Fourth Proportional to 82,672.94, 123,986.88 and 22,687.19

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Solution

The fourth proportional to 82,672.94, 123,986.88 and 22,687.19 is: 34,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,672.94 : 123,986.88 = 22,687.19 : x
  2. Step 2: Convert to fraction form
    82,672.94/123,986.88 = 22,687.19/x
  3. Step 3: Cross multiply
    82,672.94x = 123,986.88 × 22,687.19
  4. Step 4: Simplify right side
    82,672.94x = 2,812,914,214.03
  5. Step 5: Solve for x
    x = 2,812,914,214.03/82,672.94
  6. Step 6: Final answer
    x = 34,024.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.