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Finding the Fourth Proportional to 31,940.48, 47,940.28 and 16,156.68

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Solution

The fourth proportional to 31,940.48, 47,940.28 and 16,156.68 is: 24,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,940.48 : 47,940.28 = 16,156.68 : x
  2. Step 2: Convert to fraction form
    31,940.48/47,940.28 = 16,156.68/x
  3. Step 3: Cross multiply
    31,940.48x = 47,940.28 × 16,156.68
  4. Step 4: Simplify right side
    31,940.48x = 774,555,763.07
  5. Step 5: Solve for x
    x = 774,555,763.07/31,940.48
  6. Step 6: Final answer
    x = 24,249.97

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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.