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Finding the Fourth Proportional to 31,605.48, 43,609.86 and 20,421

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Solution

The fourth proportional to 31,605.48, 43,609.86 and 20,421 is: 28,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.48 : 43,609.86 = 20,421 : x
  2. Step 2: Convert to fraction form
    31,605.48/43,609.86 = 20,421/x
  3. Step 3: Cross multiply
    31,605.48x = 43,609.86 × 20,421
  4. Step 4: Simplify right side
    31,605.48x = 890,556,951.06
  5. Step 5: Solve for x
    x = 890,556,951.06/31,605.48
  6. Step 6: Final answer
    x = 28,177.30

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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.