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Finding the Fourth Proportional to 50,757.74, 76,164.14 and 21,178.16

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Solution

The fourth proportional to 50,757.74, 76,164.14 and 21,178.16 is: 31,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,757.74 : 76,164.14 = 21,178.16 : x
  2. Step 2: Convert to fraction form
    50,757.74/76,164.14 = 21,178.16/x
  3. Step 3: Cross multiply
    50,757.74x = 76,164.14 × 21,178.16
  4. Step 4: Simplify right side
    50,757.74x = 1,613,016,015.31
  5. Step 5: Solve for x
    x = 1,613,016,015.31/50,757.74
  6. Step 6: Final answer
    x = 31,778.72

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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.