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Finding the Fourth Proportional to 37,750, 52,096.20 and 20,984.08

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Solution

The fourth proportional to 37,750, 52,096.20 and 20,984.08 is: 28,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,750 : 52,096.20 = 20,984.08 : x
  2. Step 2: Convert to fraction form
    37,750/52,096.20 = 20,984.08/x
  3. Step 3: Cross multiply
    37,750x = 52,096.20 × 20,984.08
  4. Step 4: Simplify right side
    37,750x = 1,093,190,828.50
  5. Step 5: Solve for x
    x = 1,093,190,828.50/37,750
  6. Step 6: Final answer
    x = 28,958.70

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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.