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Finding the Fourth Proportional to 31,747.33, 43,814.43 and 17,602.90

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Solution

The fourth proportional to 31,747.33, 43,814.43 and 17,602.90 is: 24,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747.33 : 43,814.43 = 17,602.90 : x
  2. Step 2: Convert to fraction form
    31,747.33/43,814.43 = 17,602.90/x
  3. Step 3: Cross multiply
    31,747.33x = 43,814.43 × 17,602.90
  4. Step 4: Simplify right side
    31,747.33x = 771,261,029.85
  5. Step 5: Solve for x
    x = 771,261,029.85/31,747.33
  6. Step 6: Final answer
    x = 24,293.73

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