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Finding the Fourth Proportional to 52,028.40, 78,034.68 and 16,968

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Solution

The fourth proportional to 52,028.40, 78,034.68 and 16,968 is: 25,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,028.40 : 78,034.68 = 16,968 : x
  2. Step 2: Convert to fraction form
    52,028.40/78,034.68 = 16,968/x
  3. Step 3: Cross multiply
    52,028.40x = 78,034.68 × 16,968
  4. Step 4: Simplify right side
    52,028.40x = 1,324,092,450.24
  5. Step 5: Solve for x
    x = 1,324,092,450.24/52,028.40
  6. Step 6: Final answer
    x = 25,449.42

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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.