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Finding the Fourth Proportional to 31,573.88, 43,532.55 and 20,224.71

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Solution

The fourth proportional to 31,573.88, 43,532.55 and 20,224.71 is: 27,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573.88 : 43,532.55 = 20,224.71 : x
  2. Step 2: Convert to fraction form
    31,573.88/43,532.55 = 20,224.71/x
  3. Step 3: Cross multiply
    31,573.88x = 43,532.55 × 20,224.71
  4. Step 4: Simplify right side
    31,573.88x = 880,433,199.31
  5. Step 5: Solve for x
    x = 880,433,199.31/31,573.88
  6. Step 6: Final answer
    x = 27,884.86

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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.