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Finding the Fourth Proportional to 31,097.47, 42,914.41 and 16,950.31

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Solution

The fourth proportional to 31,097.47, 42,914.41 and 16,950.31 is: 23,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.47 : 42,914.41 = 16,950.31 : x
  2. Step 2: Convert to fraction form
    31,097.47/42,914.41 = 16,950.31/x
  3. Step 3: Cross multiply
    31,097.47x = 42,914.41 × 16,950.31
  4. Step 4: Simplify right side
    31,097.47x = 727,412,644.70
  5. Step 5: Solve for x
    x = 727,412,644.70/31,097.47
  6. Step 6: Final answer
    x = 23,391.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.