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Finding the Fourth Proportional to 29,581.50, 40,822.47 and 20,166.54

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Solution

The fourth proportional to 29,581.50, 40,822.47 and 20,166.54 is: 27,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,581.50 : 40,822.47 = 20,166.54 : x
  2. Step 2: Convert to fraction form
    29,581.50/40,822.47 = 20,166.54/x
  3. Step 3: Cross multiply
    29,581.50x = 40,822.47 × 20,166.54
  4. Step 4: Simplify right side
    29,581.50x = 823,247,974.15
  5. Step 5: Solve for x
    x = 823,247,974.15/29,581.50
  6. Step 6: Final answer
    x = 27,829.83

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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.