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Finding the Fourth Proportional to 41,438.66, 57,221.87 and 30,809.84

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Solution

The fourth proportional to 41,438.66, 57,221.87 and 30,809.84 is: 42,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,438.66 : 57,221.87 = 30,809.84 : x
  2. Step 2: Convert to fraction form
    41,438.66/57,221.87 = 30,809.84/x
  3. Step 3: Cross multiply
    41,438.66x = 57,221.87 × 30,809.84
  4. Step 4: Simplify right side
    41,438.66x = 1,762,996,219.04
  5. Step 5: Solve for x
    x = 1,762,996,219.04/41,438.66
  6. Step 6: Final answer
    x = 42,544.73

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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.