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Finding the Fourth Proportional to 40,202.81, 55,478.46 and 22,299.47

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Solution

The fourth proportional to 40,202.81, 55,478.46 and 22,299.47 is: 30,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,202.81 : 55,478.46 = 22,299.47 : x
  2. Step 2: Convert to fraction form
    40,202.81/55,478.46 = 22,299.47/x
  3. Step 3: Cross multiply
    40,202.81x = 55,478.46 × 22,299.47
  4. Step 4: Simplify right side
    40,202.81x = 1,237,140,254.42
  5. Step 5: Solve for x
    x = 1,237,140,254.42/40,202.81
  6. Step 6: Final answer
    x = 30,772.48

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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.