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Finding the Fourth Proportional to 31,675.98, 43,714.38 and 18,249.30

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Solution

The fourth proportional to 31,675.98, 43,714.38 and 18,249.30 is: 25,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,675.98 : 43,714.38 = 18,249.30 : x
  2. Step 2: Convert to fraction form
    31,675.98/43,714.38 = 18,249.30/x
  3. Step 3: Cross multiply
    31,675.98x = 43,714.38 × 18,249.30
  4. Step 4: Simplify right side
    31,675.98x = 797,756,834.93
  5. Step 5: Solve for x
    x = 797,756,834.93/31,675.98
  6. Step 6: Final answer
    x = 25,184.91

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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.