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Finding the Fourth Proportional to 30,912.38, 46,368.49 and 20,305.69

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Solution

The fourth proportional to 30,912.38, 46,368.49 and 20,305.69 is: 30,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.38 : 46,368.49 = 20,305.69 : x
  2. Step 2: Convert to fraction form
    30,912.38/46,368.49 = 20,305.69/x
  3. Step 3: Cross multiply
    30,912.38x = 46,368.49 × 20,305.69
  4. Step 4: Simplify right side
    30,912.38x = 941,543,951.87
  5. Step 5: Solve for x
    x = 941,543,951.87/30,912.38
  6. Step 6: Final answer
    x = 30,458.48

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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.