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Finding the Fourth Proportional to 36,592.38, 50,497.74 and 19,825.38

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Solution

The fourth proportional to 36,592.38, 50,497.74 and 19,825.38 is: 27,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,592.38 : 50,497.74 = 19,825.38 : x
  2. Step 2: Convert to fraction form
    36,592.38/50,497.74 = 19,825.38/x
  3. Step 3: Cross multiply
    36,592.38x = 50,497.74 × 19,825.38
  4. Step 4: Simplify right side
    36,592.38x = 1,001,136,884.64
  5. Step 5: Solve for x
    x = 1,001,136,884.64/36,592.38
  6. Step 6: Final answer
    x = 27,359.16

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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.