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Finding the Fourth Proportional to 31,171, 43,019.94 and 20,582.68

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Solution

The fourth proportional to 31,171, 43,019.94 and 20,582.68 is: 28,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171 : 43,019.94 = 20,582.68 : x
  2. Step 2: Convert to fraction form
    31,171/43,019.94 = 20,582.68/x
  3. Step 3: Cross multiply
    31,171x = 43,019.94 × 20,582.68
  4. Step 4: Simplify right side
    31,171x = 885,465,658.64
  5. Step 5: Solve for x
    x = 885,465,658.64/31,171
  6. Step 6: Final answer
    x = 28,406.71

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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.