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Finding the Fourth Proportional to 51,768.87, 77,638.29 and 20,171.90

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Solution

The fourth proportional to 51,768.87, 77,638.29 and 20,171.90 is: 30,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768.87 : 77,638.29 = 20,171.90 : x
  2. Step 2: Convert to fraction form
    51,768.87/77,638.29 = 20,171.90/x
  3. Step 3: Cross multiply
    51,768.87x = 77,638.29 × 20,171.90
  4. Step 4: Simplify right side
    51,768.87x = 1,566,111,433.86
  5. Step 5: Solve for x
    x = 1,566,111,433.86/51,768.87
  6. Step 6: Final answer
    x = 30,251.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.