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Finding the Fourth Proportional to 31,992.10, 48,012.15 and 16,401.70

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Solution

The fourth proportional to 31,992.10, 48,012.15 and 16,401.70 is: 24,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.10 : 48,012.15 = 16,401.70 : x
  2. Step 2: Convert to fraction form
    31,992.10/48,012.15 = 16,401.70/x
  3. Step 3: Cross multiply
    31,992.10x = 48,012.15 × 16,401.70
  4. Step 4: Simplify right side
    31,992.10x = 787,480,880.66
  5. Step 5: Solve for x
    x = 787,480,880.66/31,992.10
  6. Step 6: Final answer
    x = 24,614.85

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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.