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Finding the Fourth Proportional to 37,039.50, 51,114.87 and 20,272.86

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Solution

The fourth proportional to 37,039.50, 51,114.87 and 20,272.86 is: 27,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,039.50 : 51,114.87 = 20,272.86 : x
  2. Step 2: Convert to fraction form
    37,039.50/51,114.87 = 20,272.86/x
  3. Step 3: Cross multiply
    37,039.50x = 51,114.87 × 20,272.86
  4. Step 4: Simplify right side
    37,039.50x = 1,036,244,603.43
  5. Step 5: Solve for x
    x = 1,036,244,603.43/37,039.50
  6. Step 6: Final answer
    x = 27,976.74

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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.