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Finding the Fourth Proportional to 50,757.86, 76,164.34 and 21,178.28

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Solution

The fourth proportional to 50,757.86, 76,164.34 and 21,178.28 is: 31,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,757.86 : 76,164.34 = 21,178.28 : x
  2. Step 2: Convert to fraction form
    50,757.86/76,164.34 = 21,178.28/x
  3. Step 3: Cross multiply
    50,757.86x = 76,164.34 × 21,178.28
  4. Step 4: Simplify right side
    50,757.86x = 1,613,029,718.54
  5. Step 5: Solve for x
    x = 1,613,029,718.54/50,757.86
  6. Step 6: Final answer
    x = 31,778.92

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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.