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Finding the Fourth Proportional to 36,142.50, 49,877.78 and 20,226.92

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Solution

The fourth proportional to 36,142.50, 49,877.78 and 20,226.92 is: 27,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.50 : 49,877.78 = 20,226.92 : x
  2. Step 2: Convert to fraction form
    36,142.50/49,877.78 = 20,226.92/x
  3. Step 3: Cross multiply
    36,142.50x = 49,877.78 × 20,226.92
  4. Step 4: Simplify right side
    36,142.50x = 1,008,873,515.31
  5. Step 5: Solve for x
    x = 1,008,873,515.31/36,142.50
  6. Step 6: Final answer
    x = 27,913.77

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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.