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Finding the Fourth Proportional to 37,081.50, 51,174.90 and 20,314.50

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Solution

The fourth proportional to 37,081.50, 51,174.90 and 20,314.50 is: 28,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,081.50 : 51,174.90 = 20,314.50 : x
  2. Step 2: Convert to fraction form
    37,081.50/51,174.90 = 20,314.50/x
  3. Step 3: Cross multiply
    37,081.50x = 51,174.90 × 20,314.50
  4. Step 4: Simplify right side
    37,081.50x = 1,039,592,506.05
  5. Step 5: Solve for x
    x = 1,039,592,506.05/37,081.50
  6. Step 6: Final answer
    x = 28,035.34

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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.