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Finding the Fourth Proportional to 36,156.72, 54,240.36 and 11,199

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Solution

The fourth proportional to 36,156.72, 54,240.36 and 11,199 is: 16,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,156.72 : 54,240.36 = 11,199 : x
  2. Step 2: Convert to fraction form
    36,156.72/54,240.36 = 11,199/x
  3. Step 3: Cross multiply
    36,156.72x = 54,240.36 × 11,199
  4. Step 4: Simplify right side
    36,156.72x = 607,437,791.64
  5. Step 5: Solve for x
    x = 607,437,791.64/36,156.72
  6. Step 6: Final answer
    x = 16,800.14

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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.