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Finding the Fourth Proportional to 31,605.62, 43,609.33 and 20,125.16

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Solution

The fourth proportional to 31,605.62, 43,609.33 and 20,125.16 is: 27,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.62 : 43,609.33 = 20,125.16 : x
  2. Step 2: Convert to fraction form
    31,605.62/43,609.33 = 20,125.16/x
  3. Step 3: Cross multiply
    31,605.62x = 43,609.33 × 20,125.16
  4. Step 4: Simplify right side
    31,605.62x = 877,644,475.38
  5. Step 5: Solve for x
    x = 877,644,475.38/31,605.62
  6. Step 6: Final answer
    x = 27,768.62

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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.