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Finding the Fourth Proportional to 31,938.50, 47,908.56 and 11,162

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Solution

The fourth proportional to 31,938.50, 47,908.56 and 11,162 is: 16,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,938.50 : 47,908.56 = 11,162 : x
  2. Step 2: Convert to fraction form
    31,938.50/47,908.56 = 11,162/x
  3. Step 3: Cross multiply
    31,938.50x = 47,908.56 × 11,162
  4. Step 4: Simplify right side
    31,938.50x = 534,755,346.72
  5. Step 5: Solve for x
    x = 534,755,346.72/31,938.50
  6. Step 6: Final answer
    x = 16,743.28

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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.