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Finding the Fourth Proportional to 31,315.60, 46,971.78 and 7,942.24

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Solution

The fourth proportional to 31,315.60, 46,971.78 and 7,942.24 is: 11,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315.60 : 46,971.78 = 7,942.24 : x
  2. Step 2: Convert to fraction form
    31,315.60/46,971.78 = 7,942.24/x
  3. Step 3: Cross multiply
    31,315.60x = 46,971.78 × 7,942.24
  4. Step 4: Simplify right side
    31,315.60x = 373,061,149.99
  5. Step 5: Solve for x
    x = 373,061,149.99/31,315.60
  6. Step 6: Final answer
    x = 11,912.95

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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.