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Finding the Fourth Proportional to 30,761.94, 42,446.52 and 17,330.13

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Solution

The fourth proportional to 30,761.94, 42,446.52 and 17,330.13 is: 23,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.94 : 42,446.52 = 17,330.13 : x
  2. Step 2: Convert to fraction form
    30,761.94/42,446.52 = 17,330.13/x
  3. Step 3: Cross multiply
    30,761.94x = 42,446.52 × 17,330.13
  4. Step 4: Simplify right side
    30,761.94x = 735,603,709.65
  5. Step 5: Solve for x
    x = 735,603,709.65/30,761.94
  6. Step 6: Final answer
    x = 23,912.79

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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.