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Finding the Fourth Proportional to 36,999.36, 51,059.52 and 20,232

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Solution

The fourth proportional to 36,999.36, 51,059.52 and 20,232 is: 27,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,999.36 : 51,059.52 = 20,232 : x
  2. Step 2: Convert to fraction form
    36,999.36/51,059.52 = 20,232/x
  3. Step 3: Cross multiply
    36,999.36x = 51,059.52 × 20,232
  4. Step 4: Simplify right side
    36,999.36x = 1,033,036,208.64
  5. Step 5: Solve for x
    x = 1,033,036,208.64/36,999.36
  6. Step 6: Final answer
    x = 27,920.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.