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Finding the Fourth Proportional to 50,378.86, 75,584.04 and 20,810.62

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Solution

The fourth proportional to 50,378.86, 75,584.04 and 20,810.62 is: 31,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,378.86 : 75,584.04 = 20,810.62 : x
  2. Step 2: Convert to fraction form
    50,378.86/75,584.04 = 20,810.62/x
  3. Step 3: Cross multiply
    50,378.86x = 75,584.04 × 20,810.62
  4. Step 4: Simplify right side
    50,378.86x = 1,572,950,734.50
  5. Step 5: Solve for x
    x = 1,572,950,734.50/50,378.86
  6. Step 6: Final answer
    x = 31,222.44

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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.