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Finding the Fourth Proportional to 31,648.86, 43,674.39 and 17,499.78

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Solution

The fourth proportional to 31,648.86, 43,674.39 and 17,499.78 is: 24,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.86 : 43,674.39 = 17,499.78 : x
  2. Step 2: Convert to fraction form
    31,648.86/43,674.39 = 17,499.78/x
  3. Step 3: Cross multiply
    31,648.86x = 43,674.39 × 17,499.78
  4. Step 4: Simplify right side
    31,648.86x = 764,292,216.63
  5. Step 5: Solve for x
    x = 764,292,216.63/31,648.86
  6. Step 6: Final answer
    x = 24,149.12

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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.