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Finding the Fourth Proportional to 31,567.88, 43,524.27 and 20,218.71

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Solution

The fourth proportional to 31,567.88, 43,524.27 and 20,218.71 is: 27,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,567.88 : 43,524.27 = 20,218.71 : x
  2. Step 2: Convert to fraction form
    31,567.88/43,524.27 = 20,218.71/x
  3. Step 3: Cross multiply
    31,567.88x = 43,524.27 × 20,218.71
  4. Step 4: Simplify right side
    31,567.88x = 880,004,593.09
  5. Step 5: Solve for x
    x = 880,004,593.09/31,567.88
  6. Step 6: Final answer
    x = 27,876.59

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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.