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Finding the Fourth Proportional to 34,158.20, 47,141.94 and 20,022.92

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Solution

The fourth proportional to 34,158.20, 47,141.94 and 20,022.92 is: 27,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,158.20 : 47,141.94 = 20,022.92 : x
  2. Step 2: Convert to fraction form
    34,158.20/47,141.94 = 20,022.92/x
  3. Step 3: Cross multiply
    34,158.20x = 47,141.94 × 20,022.92
  4. Step 4: Simplify right side
    34,158.20x = 943,919,293.26
  5. Step 5: Solve for x
    x = 943,919,293.26/34,158.20
  6. Step 6: Final answer
    x = 27,633.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.