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Finding the Fourth Proportional to 53,847.50, 80,775.23 and 16,410.78

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Solution

The fourth proportional to 53,847.50, 80,775.23 and 16,410.78 is: 24,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,847.50 : 80,775.23 = 16,410.78 : x
  2. Step 2: Convert to fraction form
    53,847.50/80,775.23 = 16,410.78/x
  3. Step 3: Cross multiply
    53,847.50x = 80,775.23 × 16,410.78
  4. Step 4: Simplify right side
    53,847.50x = 1,325,584,446.93
  5. Step 5: Solve for x
    x = 1,325,584,446.93/53,847.50
  6. Step 6: Final answer
    x = 24,617.38

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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.