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Finding the Fourth Proportional to 37,132.50, 51,243.12 and 20,365.50

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Solution

The fourth proportional to 37,132.50, 51,243.12 and 20,365.50 is: 28,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,132.50 : 51,243.12 = 20,365.50 : x
  2. Step 2: Convert to fraction form
    37,132.50/51,243.12 = 20,365.50/x
  3. Step 3: Cross multiply
    37,132.50x = 51,243.12 × 20,365.50
  4. Step 4: Simplify right side
    37,132.50x = 1,043,591,760.36
  5. Step 5: Solve for x
    x = 1,043,591,760.36/37,132.50
  6. Step 6: Final answer
    x = 28,104.54

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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.