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Finding the Fourth Proportional to 36,528.88, 50,414.64 and 21,220

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Solution

The fourth proportional to 36,528.88, 50,414.64 and 21,220 is: 29,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,528.88 : 50,414.64 = 21,220 : x
  2. Step 2: Convert to fraction form
    36,528.88/50,414.64 = 21,220/x
  3. Step 3: Cross multiply
    36,528.88x = 50,414.64 × 21,220
  4. Step 4: Simplify right side
    36,528.88x = 1,069,798,660.80
  5. Step 5: Solve for x
    x = 1,069,798,660.80/36,528.88
  6. Step 6: Final answer
    x = 29,286.38

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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.