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Finding the Fourth Proportional to 36,532, 50,414.16 and 19,765

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Solution

The fourth proportional to 36,532, 50,414.16 and 19,765 is: 27,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532 : 50,414.16 = 19,765 : x
  2. Step 2: Convert to fraction form
    36,532/50,414.16 = 19,765/x
  3. Step 3: Cross multiply
    36,532x = 50,414.16 × 19,765
  4. Step 4: Simplify right side
    36,532x = 996,435,872.40
  5. Step 5: Solve for x
    x = 996,435,872.40/36,532
  6. Step 6: Final answer
    x = 27,275.70

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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.