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Finding the Fourth Proportional to 55,169, 82,769.82 and 31,812.20

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Solution

The fourth proportional to 55,169, 82,769.82 and 31,812.20 is: 47,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,169 : 82,769.82 = 31,812.20 : x
  2. Step 2: Convert to fraction form
    55,169/82,769.82 = 31,812.20/x
  3. Step 3: Cross multiply
    55,169x = 82,769.82 × 31,812.20
  4. Step 4: Simplify right side
    55,169x = 2,633,090,067.80
  5. Step 5: Solve for x
    x = 2,633,090,067.80/55,169
  6. Step 6: Final answer
    x = 47,727.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.