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Finding the Fourth Proportional to 31,773.39, 43,847.49 and 17,627.14

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Solution

The fourth proportional to 31,773.39, 43,847.49 and 17,627.14 is: 24,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.39 : 43,847.49 = 17,627.14 : x
  2. Step 2: Convert to fraction form
    31,773.39/43,847.49 = 17,627.14/x
  3. Step 3: Cross multiply
    31,773.39x = 43,847.49 × 17,627.14
  4. Step 4: Simplify right side
    31,773.39x = 772,905,844.88
  5. Step 5: Solve for x
    x = 772,905,844.88/31,773.39
  6. Step 6: Final answer
    x = 24,325.57

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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.