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Finding the Fourth Proportional to 31,593.46, 47,418.85 and 16,814.82

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Solution

The fourth proportional to 31,593.46, 47,418.85 and 16,814.82 is: 25,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,593.46 : 47,418.85 = 16,814.82 : x
  2. Step 2: Convert to fraction form
    31,593.46/47,418.85 = 16,814.82/x
  3. Step 3: Cross multiply
    31,593.46x = 47,418.85 × 16,814.82
  4. Step 4: Simplify right side
    31,593.46x = 797,339,427.36
  5. Step 5: Solve for x
    x = 797,339,427.36/31,593.46
  6. Step 6: Final answer
    x = 25,237.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.