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Finding the Fourth Proportional to 36,381.60, 50,202.54 and 20,465.70

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Solution

The fourth proportional to 36,381.60, 50,202.54 and 20,465.70 is: 28,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,381.60 : 50,202.54 = 20,465.70 : x
  2. Step 2: Convert to fraction form
    36,381.60/50,202.54 = 20,465.70/x
  3. Step 3: Cross multiply
    36,381.60x = 50,202.54 × 20,465.70
  4. Step 4: Simplify right side
    36,381.60x = 1,027,430,122.88
  5. Step 5: Solve for x
    x = 1,027,430,122.88/36,381.60
  6. Step 6: Final answer
    x = 28,240.38

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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.