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Finding the Fourth Proportional to 36,785.50, 55,178.43 and 9,083.50

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Solution

The fourth proportional to 36,785.50, 55,178.43 and 9,083.50 is: 13,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,785.50 : 55,178.43 = 9,083.50 : x
  2. Step 2: Convert to fraction form
    36,785.50/55,178.43 = 9,083.50/x
  3. Step 3: Cross multiply
    36,785.50x = 55,178.43 × 9,083.50
  4. Step 4: Simplify right side
    36,785.50x = 501,213,268.91
  5. Step 5: Solve for x
    x = 501,213,268.91/36,785.50
  6. Step 6: Final answer
    x = 13,625.29

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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.