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Finding the Fourth Proportional to 31,735.88, 43,815.42 and 20,425.02

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Solution

The fourth proportional to 31,735.88, 43,815.42 and 20,425.02 is: 28,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.88 : 43,815.42 = 20,425.02 : x
  2. Step 2: Convert to fraction form
    31,735.88/43,815.42 = 20,425.02/x
  3. Step 3: Cross multiply
    31,735.88x = 43,815.42 × 20,425.02
  4. Step 4: Simplify right side
    31,735.88x = 894,930,829.81
  5. Step 5: Solve for x
    x = 894,930,829.81/31,735.88
  6. Step 6: Final answer
    x = 28,199.34

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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.