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Finding the Fourth Proportional to 82,004.88, 123,023.70 and 29,418.42

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Solution

The fourth proportional to 82,004.88, 123,023.70 and 29,418.42 is: 44,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,004.88 : 123,023.70 = 29,418.42 : x
  2. Step 2: Convert to fraction form
    82,004.88/123,023.70 = 29,418.42/x
  3. Step 3: Cross multiply
    82,004.88x = 123,023.70 × 29,418.42
  4. Step 4: Simplify right side
    82,004.88x = 3,619,162,876.55
  5. Step 5: Solve for x
    x = 3,619,162,876.55/82,004.88
  6. Step 6: Final answer
    x = 44,133.51

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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.