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Finding the Fourth Proportional to 52,234.79, 78,265 and 50,291.09

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Solution

The fourth proportional to 52,234.79, 78,265 and 50,291.09 is: 75,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,234.79 : 78,265 = 50,291.09 : x
  2. Step 2: Convert to fraction form
    52,234.79/78,265 = 50,291.09/x
  3. Step 3: Cross multiply
    52,234.79x = 78,265 × 50,291.09
  4. Step 4: Simplify right side
    52,234.79x = 3,936,032,158.85
  5. Step 5: Solve for x
    x = 3,936,032,158.85/52,234.79
  6. Step 6: Final answer
    x = 75,352.69

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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.