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Finding the Fourth Proportional to 36,560.46, 50,448 and 20,644.59

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Solution

The fourth proportional to 36,560.46, 50,448 and 20,644.59 is: 28,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,560.46 : 50,448 = 20,644.59 : x
  2. Step 2: Convert to fraction form
    36,560.46/50,448 = 20,644.59/x
  3. Step 3: Cross multiply
    36,560.46x = 50,448 × 20,644.59
  4. Step 4: Simplify right side
    36,560.46x = 1,041,478,276.32
  5. Step 5: Solve for x
    x = 1,041,478,276.32/36,560.46
  6. Step 6: Final answer
    x = 28,486.47

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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.