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Finding the Fourth Proportional to 31,731.26, 47,597.76 and 9,241.04

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Solution

The fourth proportional to 31,731.26, 47,597.76 and 9,241.04 is: 13,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.26 : 47,597.76 = 9,241.04 : x
  2. Step 2: Convert to fraction form
    31,731.26/47,597.76 = 9,241.04/x
  3. Step 3: Cross multiply
    31,731.26x = 47,597.76 × 9,241.04
  4. Step 4: Simplify right side
    31,731.26x = 439,852,923.06
  5. Step 5: Solve for x
    x = 439,852,923.06/31,731.26
  6. Step 6: Final answer
    x = 13,861.82

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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.