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Finding the Fourth Proportional to 50,906.72, 76,282.13 and 21,308.43

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Solution

The fourth proportional to 50,906.72, 76,282.13 and 21,308.43 is: 31,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,906.72 : 76,282.13 = 21,308.43 : x
  2. Step 2: Convert to fraction form
    50,906.72/76,282.13 = 21,308.43/x
  3. Step 3: Cross multiply
    50,906.72x = 76,282.13 × 21,308.43
  4. Step 4: Simplify right side
    50,906.72x = 1,625,452,320.81
  5. Step 5: Solve for x
    x = 1,625,452,320.81/50,906.72
  6. Step 6: Final answer
    x = 31,930.02

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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.