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Finding the Fourth Proportional to 54,769.37, 75,582.03 and 30,571.43

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Solution

The fourth proportional to 54,769.37, 75,582.03 and 30,571.43 is: 42,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,769.37 : 75,582.03 = 30,571.43 : x
  2. Step 2: Convert to fraction form
    54,769.37/75,582.03 = 30,571.43/x
  3. Step 3: Cross multiply
    54,769.37x = 75,582.03 × 30,571.43
  4. Step 4: Simplify right side
    54,769.37x = 2,310,650,361.49
  5. Step 5: Solve for x
    x = 2,310,650,361.49/54,769.37
  6. Step 6: Final answer
    x = 42,188.74

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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.