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Finding the Fourth Proportional to 40,199.81, 55,474.32 and 22,296.47

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Solution

The fourth proportional to 40,199.81, 55,474.32 and 22,296.47 is: 30,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,199.81 : 55,474.32 = 22,296.47 : x
  2. Step 2: Convert to fraction form
    40,199.81/55,474.32 = 22,296.47/x
  3. Step 3: Cross multiply
    40,199.81x = 55,474.32 × 22,296.47
  4. Step 4: Simplify right side
    40,199.81x = 1,236,881,234.28
  5. Step 5: Solve for x
    x = 1,236,881,234.28/40,199.81
  6. Step 6: Final answer
    x = 30,768.34

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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.