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Finding the Fourth Proportional to 31,135.38, 43,013.60 and 20,405.71

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Solution

The fourth proportional to 31,135.38, 43,013.60 and 20,405.71 is: 28,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,135.38 : 43,013.60 = 20,405.71 : x
  2. Step 2: Convert to fraction form
    31,135.38/43,013.60 = 20,405.71/x
  3. Step 3: Cross multiply
    31,135.38x = 43,013.60 × 20,405.71
  4. Step 4: Simplify right side
    31,135.38x = 877,723,047.66
  5. Step 5: Solve for x
    x = 877,723,047.66/31,135.38
  6. Step 6: Final answer
    x = 28,190.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.