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Finding the Fourth Proportional to 50,784.42, 76,183.71 and 21,195.48

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Solution

The fourth proportional to 50,784.42, 76,183.71 and 21,195.48 is: 31,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784.42 : 76,183.71 = 21,195.48 : x
  2. Step 2: Convert to fraction form
    50,784.42/76,183.71 = 21,195.48/x
  3. Step 3: Cross multiply
    50,784.42x = 76,183.71 × 21,195.48
  4. Step 4: Simplify right side
    50,784.42x = 1,614,750,301.63
  5. Step 5: Solve for x
    x = 1,614,750,301.63/50,784.42
  6. Step 6: Final answer
    x = 31,796.17

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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.