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Finding the Fourth Proportional to 31,773.36, 43,849.32 and 17,627.76

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Solution

The fourth proportional to 31,773.36, 43,849.32 and 17,627.76 is: 24,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.36 : 43,849.32 = 17,627.76 : x
  2. Step 2: Convert to fraction form
    31,773.36/43,849.32 = 17,627.76/x
  3. Step 3: Cross multiply
    31,773.36x = 43,849.32 × 17,627.76
  4. Step 4: Simplify right side
    31,773.36x = 772,965,289.12
  5. Step 5: Solve for x
    x = 772,965,289.12/31,773.36
  6. Step 6: Final answer
    x = 24,327.46

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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.