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Finding the Fourth Proportional to 50,986.92, 76,394.10 and 31,224.22

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Solution

The fourth proportional to 50,986.92, 76,394.10 and 31,224.22 is: 46,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986.92 : 76,394.10 = 31,224.22 : x
  2. Step 2: Convert to fraction form
    50,986.92/76,394.10 = 31,224.22/x
  3. Step 3: Cross multiply
    50,986.92x = 76,394.10 × 31,224.22
  4. Step 4: Simplify right side
    50,986.92x = 2,385,346,185.10
  5. Step 5: Solve for x
    x = 2,385,346,185.10/50,986.92
  6. Step 6: Final answer
    x = 46,783.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.