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Finding the Fourth Proportional to 82,672.38, 123,986.03 and 22,686.63

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Solution

The fourth proportional to 82,672.38, 123,986.03 and 22,686.63 is: 34,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,672.38 : 123,986.03 = 22,686.63 : x
  2. Step 2: Convert to fraction form
    82,672.38/123,986.03 = 22,686.63/x
  3. Step 3: Cross multiply
    82,672.38x = 123,986.03 × 22,686.63
  4. Step 4: Simplify right side
    82,672.38x = 2,812,825,244.50
  5. Step 5: Solve for x
    x = 2,812,825,244.50/82,672.38
  6. Step 6: Final answer
    x = 34,023.76

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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.