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Finding the Fourth Proportional to 30,951.96, 46,428.84 and 7,578.38

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Solution

The fourth proportional to 30,951.96, 46,428.84 and 7,578.38 is: 11,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.96 : 46,428.84 = 7,578.38 : x
  2. Step 2: Convert to fraction form
    30,951.96/46,428.84 = 7,578.38/x
  3. Step 3: Cross multiply
    30,951.96x = 46,428.84 × 7,578.38
  4. Step 4: Simplify right side
    30,951.96x = 351,855,160.34
  5. Step 5: Solve for x
    x = 351,855,160.34/30,951.96
  6. Step 6: Final answer
    x = 11,367.78

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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.