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Finding the Fourth Proportional to 31,191.27, 43,046.40 and 17,763.09

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Solution

The fourth proportional to 31,191.27, 43,046.40 and 17,763.09 is: 24,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.27 : 43,046.40 = 17,763.09 : x
  2. Step 2: Convert to fraction form
    31,191.27/43,046.40 = 17,763.09/x
  3. Step 3: Cross multiply
    31,191.27x = 43,046.40 × 17,763.09
  4. Step 4: Simplify right side
    31,191.27x = 764,637,077.38
  5. Step 5: Solve for x
    x = 764,637,077.38/31,191.27
  6. Step 6: Final answer
    x = 24,514.46

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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.