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Finding the Fourth Proportional to 52,251.78, 78,433.02 and 32,544.21

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Solution

The fourth proportional to 52,251.78, 78,433.02 and 32,544.21 is: 48,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,251.78 : 78,433.02 = 32,544.21 : x
  2. Step 2: Convert to fraction form
    52,251.78/78,433.02 = 32,544.21/x
  3. Step 3: Cross multiply
    52,251.78x = 78,433.02 × 32,544.21
  4. Step 4: Simplify right side
    52,251.78x = 2,552,540,673.81
  5. Step 5: Solve for x
    x = 2,552,540,673.81/52,251.78
  6. Step 6: Final answer
    x = 48,850.79

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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.