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Finding the Fourth Proportional to 52,102.81, 78,183.17 and 25,449.10

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Solution

The fourth proportional to 52,102.81, 78,183.17 and 25,449.10 is: 38,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.81 : 78,183.17 = 25,449.10 : x
  2. Step 2: Convert to fraction form
    52,102.81/78,183.17 = 25,449.10/x
  3. Step 3: Cross multiply
    52,102.81x = 78,183.17 × 25,449.10
  4. Step 4: Simplify right side
    52,102.81x = 1,989,691,667.31
  5. Step 5: Solve for x
    x = 1,989,691,667.31/52,102.81
  6. Step 6: Final answer
    x = 38,187.80

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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.