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Finding the Fourth Proportional to 89,647.75, 123,730.50 and 51,922

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Solution

The fourth proportional to 89,647.75, 123,730.50 and 51,922 is: 71,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,647.75 : 123,730.50 = 51,922 : x
  2. Step 2: Convert to fraction form
    89,647.75/123,730.50 = 51,922/x
  3. Step 3: Cross multiply
    89,647.75x = 123,730.50 × 51,922
  4. Step 4: Simplify right side
    89,647.75x = 6,424,335,021
  5. Step 5: Solve for x
    x = 6,424,335,021/89,647.75
  6. Step 6: Final answer
    x = 71,661.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.