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Finding the Fourth Proportional to 36,314.88, 50,163.84 and 28,456.32

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Solution

The fourth proportional to 36,314.88, 50,163.84 and 28,456.32 is: 39,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,314.88 : 50,163.84 = 28,456.32 : x
  2. Step 2: Convert to fraction form
    36,314.88/50,163.84 = 28,456.32/x
  3. Step 3: Cross multiply
    36,314.88x = 50,163.84 × 28,456.32
  4. Step 4: Simplify right side
    36,314.88x = 1,427,478,283.47
  5. Step 5: Solve for x
    x = 1,427,478,283.47/36,314.88
  6. Step 6: Final answer
    x = 39,308.36

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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.