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Finding the Fourth Proportional to 31,688.42, 43,725.42 and 20,358.88

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Solution

The fourth proportional to 31,688.42, 43,725.42 and 20,358.88 is: 28,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,688.42 : 43,725.42 = 20,358.88 : x
  2. Step 2: Convert to fraction form
    31,688.42/43,725.42 = 20,358.88/x
  3. Step 3: Cross multiply
    31,688.42x = 43,725.42 × 20,358.88
  4. Step 4: Simplify right side
    31,688.42x = 890,200,469.42
  5. Step 5: Solve for x
    x = 890,200,469.42/31,688.42
  6. Step 6: Final answer
    x = 28,092.30

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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.