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Finding the Fourth Proportional to 31,059.62, 42,851.34 and 20,310.78

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Solution

The fourth proportional to 31,059.62, 42,851.34 and 20,310.78 is: 28,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.62 : 42,851.34 = 20,310.78 : x
  2. Step 2: Convert to fraction form
    31,059.62/42,851.34 = 20,310.78/x
  3. Step 3: Cross multiply
    31,059.62x = 42,851.34 × 20,310.78
  4. Step 4: Simplify right side
    31,059.62x = 870,344,037.89
  5. Step 5: Solve for x
    x = 870,344,037.89/31,059.62
  6. Step 6: Final answer
    x = 28,021.73

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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.