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Finding the Fourth Proportional to 34,022.70, 46,974.24 and 30,426.48

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Solution

The fourth proportional to 34,022.70, 46,974.24 and 30,426.48 is: 42,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,022.70 : 46,974.24 = 30,426.48 : x
  2. Step 2: Convert to fraction form
    34,022.70/46,974.24 = 30,426.48/x
  3. Step 3: Cross multiply
    34,022.70x = 46,974.24 × 30,426.48
  4. Step 4: Simplify right side
    34,022.70x = 1,429,260,773.88
  5. Step 5: Solve for x
    x = 1,429,260,773.88/34,022.70
  6. Step 6: Final answer
    x = 42,009.03

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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.