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Finding the Fourth Proportional to 31,520.74, 47,279.49 and 8,146.57

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Solution

The fourth proportional to 31,520.74, 47,279.49 and 8,146.57 is: 12,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520.74 : 47,279.49 = 8,146.57 : x
  2. Step 2: Convert to fraction form
    31,520.74/47,279.49 = 8,146.57/x
  3. Step 3: Cross multiply
    31,520.74x = 47,279.49 × 8,146.57
  4. Step 4: Simplify right side
    31,520.74x = 385,165,674.85
  5. Step 5: Solve for x
    x = 385,165,674.85/31,520.74
  6. Step 6: Final answer
    x = 12,219.44

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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.