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Finding the Fourth Proportional to 37,738.50, 52,079.16 and 20,971.50

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Solution

The fourth proportional to 37,738.50, 52,079.16 and 20,971.50 is: 28,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,738.50 : 52,079.16 = 20,971.50 : x
  2. Step 2: Convert to fraction form
    37,738.50/52,079.16 = 20,971.50/x
  3. Step 3: Cross multiply
    37,738.50x = 52,079.16 × 20,971.50
  4. Step 4: Simplify right side
    37,738.50x = 1,092,178,103.94
  5. Step 5: Solve for x
    x = 1,092,178,103.94/37,738.50
  6. Step 6: Final answer
    x = 28,940.69

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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.