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Finding the Fourth Proportional to 51,843.85, 77,778.11 and 16,783.50

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Solution

The fourth proportional to 51,843.85, 77,778.11 and 16,783.50 is: 25,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,843.85 : 77,778.11 = 16,783.50 : x
  2. Step 2: Convert to fraction form
    51,843.85/77,778.11 = 16,783.50/x
  3. Step 3: Cross multiply
    51,843.85x = 77,778.11 × 16,783.50
  4. Step 4: Simplify right side
    51,843.85x = 1,305,388,909.19
  5. Step 5: Solve for x
    x = 1,305,388,909.19/51,843.85
  6. Step 6: Final answer
    x = 25,179.24

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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.