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Finding the Fourth Proportional to 31,474.86, 43,439 and 17,679.45

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Solution

The fourth proportional to 31,474.86, 43,439 and 17,679.45 is: 24,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474.86 : 43,439 = 17,679.45 : x
  2. Step 2: Convert to fraction form
    31,474.86/43,439 = 17,679.45/x
  3. Step 3: Cross multiply
    31,474.86x = 43,439 × 17,679.45
  4. Step 4: Simplify right side
    31,474.86x = 767,977,628.55
  5. Step 5: Solve for x
    x = 767,977,628.55/31,474.86
  6. Step 6: Final answer
    x = 24,399.72

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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.