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Finding the Fourth Proportional to 31,647.30, 43,672.41 and 17,499.66

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Solution

The fourth proportional to 31,647.30, 43,672.41 and 17,499.66 is: 24,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.30 : 43,672.41 = 17,499.66 : x
  2. Step 2: Convert to fraction form
    31,647.30/43,672.41 = 17,499.66/x
  3. Step 3: Cross multiply
    31,647.30x = 43,672.41 × 17,499.66
  4. Step 4: Simplify right side
    31,647.30x = 764,252,326.38
  5. Step 5: Solve for x
    x = 764,252,326.38/31,647.30
  6. Step 6: Final answer
    x = 24,149.05

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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.