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Finding the Fourth Proportional to 31,477.72, 47,219.10 and 8,104.12

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Solution

The fourth proportional to 31,477.72, 47,219.10 and 8,104.12 is: 12,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.72 : 47,219.10 = 8,104.12 : x
  2. Step 2: Convert to fraction form
    31,477.72/47,219.10 = 8,104.12/x
  3. Step 3: Cross multiply
    31,477.72x = 47,219.10 × 8,104.12
  4. Step 4: Simplify right side
    31,477.72x = 382,669,252.69
  5. Step 5: Solve for x
    x = 382,669,252.69/31,477.72
  6. Step 6: Final answer
    x = 12,156.83

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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.