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Finding the Fourth Proportional to 31,846.66, 47,778.18 and 12,114.44

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Solution

The fourth proportional to 31,846.66, 47,778.18 and 12,114.44 is: 18,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.66 : 47,778.18 = 12,114.44 : x
  2. Step 2: Convert to fraction form
    31,846.66/47,778.18 = 12,114.44/x
  3. Step 3: Cross multiply
    31,846.66x = 47,778.18 × 12,114.44
  4. Step 4: Simplify right side
    31,846.66x = 578,805,894.92
  5. Step 5: Solve for x
    x = 578,805,894.92/31,846.66
  6. Step 6: Final answer
    x = 18,174.78

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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.