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Finding the Fourth Proportional to 31,000.72, 42,751.56 and 20,930.80

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Solution

The fourth proportional to 31,000.72, 42,751.56 and 20,930.80 is: 28,864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.72 : 42,751.56 = 20,930.80 : x
  2. Step 2: Convert to fraction form
    31,000.72/42,751.56 = 20,930.80/x
  3. Step 3: Cross multiply
    31,000.72x = 42,751.56 × 20,930.80
  4. Step 4: Simplify right side
    31,000.72x = 894,824,352.05
  5. Step 5: Solve for x
    x = 894,824,352.05/31,000.72
  6. Step 6: Final answer
    x = 28,864.63

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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.