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Finding the Fourth Proportional to 50,307.89, 75,470.94 and 20,709.27

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Solution

The fourth proportional to 50,307.89, 75,470.94 and 20,709.27 is: 31,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,307.89 : 75,470.94 = 20,709.27 : x
  2. Step 2: Convert to fraction form
    50,307.89/75,470.94 = 20,709.27/x
  3. Step 3: Cross multiply
    50,307.89x = 75,470.94 × 20,709.27
  4. Step 4: Simplify right side
    50,307.89x = 1,562,948,073.61
  5. Step 5: Solve for x
    x = 1,562,948,073.61/50,307.89
  6. Step 6: Final answer
    x = 31,067.66

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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.