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Finding the Fourth Proportional to 31,850.16, 43,911.90 and 20,499.36

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Solution

The fourth proportional to 31,850.16, 43,911.90 and 20,499.36 is: 28,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850.16 : 43,911.90 = 20,499.36 : x
  2. Step 2: Convert to fraction form
    31,850.16/43,911.90 = 20,499.36/x
  3. Step 3: Cross multiply
    31,850.16x = 43,911.90 × 20,499.36
  4. Step 4: Simplify right side
    31,850.16x = 900,165,846.38
  5. Step 5: Solve for x
    x = 900,165,846.38/31,850.16
  6. Step 6: Final answer
    x = 28,262.52

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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.