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Finding the Fourth Proportional to 31,851.21, 47,777.91 and 8,477.67

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Solution

The fourth proportional to 31,851.21, 47,777.91 and 8,477.67 is: 12,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.21 : 47,777.91 = 8,477.67 : x
  2. Step 2: Convert to fraction form
    31,851.21/47,777.91 = 8,477.67/x
  3. Step 3: Cross multiply
    31,851.21x = 47,777.91 × 8,477.67
  4. Step 4: Simplify right side
    31,851.21x = 405,045,501.65
  5. Step 5: Solve for x
    x = 405,045,501.65/31,851.21
  6. Step 6: Final answer
    x = 12,716.80

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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.