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Finding the Fourth Proportional to 31,418.37, 43,357.41 and 17,271.27

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Solution

The fourth proportional to 31,418.37, 43,357.41 and 17,271.27 is: 23,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.37 : 43,357.41 = 17,271.27 : x
  2. Step 2: Convert to fraction form
    31,418.37/43,357.41 = 17,271.27/x
  3. Step 3: Cross multiply
    31,418.37x = 43,357.41 × 17,271.27
  4. Step 4: Simplify right side
    31,418.37x = 748,837,534.61
  5. Step 5: Solve for x
    x = 748,837,534.61/31,418.37
  6. Step 6: Final answer
    x = 23,834.39

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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.