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Finding the Fourth Proportional to 81,641.89, 122,500.50 and 37,282.24

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Solution

The fourth proportional to 81,641.89, 122,500.50 and 37,282.24 is: 55,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,641.89 : 122,500.50 = 37,282.24 : x
  2. Step 2: Convert to fraction form
    81,641.89/122,500.50 = 37,282.24/x
  3. Step 3: Cross multiply
    81,641.89x = 122,500.50 × 37,282.24
  4. Step 4: Simplify right side
    81,641.89x = 4,567,093,041.12
  5. Step 5: Solve for x
    x = 4,567,093,041.12/81,641.89
  6. Step 6: Final answer
    x = 55,940.56

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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.