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Finding the Fourth Proportional to 36,502.51, 54,745.39 and 10,209.11

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Solution

The fourth proportional to 36,502.51, 54,745.39 and 10,209.11 is: 15,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,502.51 : 54,745.39 = 10,209.11 : x
  2. Step 2: Convert to fraction form
    36,502.51/54,745.39 = 10,209.11/x
  3. Step 3: Cross multiply
    36,502.51x = 54,745.39 × 10,209.11
  4. Step 4: Simplify right side
    36,502.51x = 558,901,383.73
  5. Step 5: Solve for x
    x = 558,901,383.73/36,502.51
  6. Step 6: Final answer
    x = 15,311.32

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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.