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Finding the Fourth Proportional to 36,813.54, 55,214.82 and 13,434.50

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Solution

The fourth proportional to 36,813.54, 55,214.82 and 13,434.50 is: 20,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,813.54 : 55,214.82 = 13,434.50 : x
  2. Step 2: Convert to fraction form
    36,813.54/55,214.82 = 13,434.50/x
  3. Step 3: Cross multiply
    36,813.54x = 55,214.82 × 13,434.50
  4. Step 4: Simplify right side
    36,813.54x = 741,783,499.29
  5. Step 5: Solve for x
    x = 741,783,499.29/36,813.54
  6. Step 6: Final answer
    x = 20,149.75

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Why These Related Problems?

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