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Finding the Fourth Proportional to 31,163.90, 43,004.52 and 17,013.98

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Solution

The fourth proportional to 31,163.90, 43,004.52 and 17,013.98 is: 23,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163.90 : 43,004.52 = 17,013.98 : x
  2. Step 2: Convert to fraction form
    31,163.90/43,004.52 = 17,013.98/x
  3. Step 3: Cross multiply
    31,163.90x = 43,004.52 × 17,013.98
  4. Step 4: Simplify right side
    31,163.90x = 731,678,043.19
  5. Step 5: Solve for x
    x = 731,678,043.19/31,163.90
  6. Step 6: Final answer
    x = 23,478.39

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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.