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Finding the Fourth Proportional to 40,214.70, 55,491.77 and 22,305.21

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Solution

The fourth proportional to 40,214.70, 55,491.77 and 22,305.21 is: 30,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,214.70 : 55,491.77 = 22,305.21 : x
  2. Step 2: Convert to fraction form
    40,214.70/55,491.77 = 22,305.21/x
  3. Step 3: Cross multiply
    40,214.70x = 55,491.77 × 22,305.21
  4. Step 4: Simplify right side
    40,214.70x = 1,237,755,471.60
  5. Step 5: Solve for x
    x = 1,237,755,471.60/40,214.70
  6. Step 6: Final answer
    x = 30,778.68

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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.