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Finding the Fourth Proportional to 31,611.50, 47,423.39 and 9,424.38

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Solution

The fourth proportional to 31,611.50, 47,423.39 and 9,424.38 is: 14,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.50 : 47,423.39 = 9,424.38 : x
  2. Step 2: Convert to fraction form
    31,611.50/47,423.39 = 9,424.38/x
  3. Step 3: Cross multiply
    31,611.50x = 47,423.39 × 9,424.38
  4. Step 4: Simplify right side
    31,611.50x = 446,936,048.25
  5. Step 5: Solve for x
    x = 446,936,048.25/31,611.50
  6. Step 6: Final answer
    x = 14,138.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.