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Finding the Fourth Proportional to 47,850.75, 71,776.73 and 16,686

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Solution

The fourth proportional to 47,850.75, 71,776.73 and 16,686 is: 25,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,850.75 : 71,776.73 = 16,686 : x
  2. Step 2: Convert to fraction form
    47,850.75/71,776.73 = 16,686/x
  3. Step 3: Cross multiply
    47,850.75x = 71,776.73 × 16,686
  4. Step 4: Simplify right side
    47,850.75x = 1,197,666,558.50
  5. Step 5: Solve for x
    x = 1,197,666,558.50/47,850.75
  6. Step 6: Final answer
    x = 25,029.21

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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.