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Finding the Fourth Proportional to 36,804.68, 50,783.46 and 23,378.12

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Solution

The fourth proportional to 36,804.68, 50,783.46 and 23,378.12 is: 32,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,804.68 : 50,783.46 = 23,378.12 : x
  2. Step 2: Convert to fraction form
    36,804.68/50,783.46 = 23,378.12/x
  3. Step 3: Cross multiply
    36,804.68x = 50,783.46 × 23,378.12
  4. Step 4: Simplify right side
    36,804.68x = 1,187,221,821.90
  5. Step 5: Solve for x
    x = 1,187,221,821.90/36,804.68
  6. Step 6: Final answer
    x = 32,257.36

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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.