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Finding the Fourth Proportional to 36,467, 50,324.48 and 19,700

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Solution

The fourth proportional to 36,467, 50,324.48 and 19,700 is: 27,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,467 : 50,324.48 = 19,700 : x
  2. Step 2: Convert to fraction form
    36,467/50,324.48 = 19,700/x
  3. Step 3: Cross multiply
    36,467x = 50,324.48 × 19,700
  4. Step 4: Simplify right side
    36,467x = 991,392,256.00
  5. Step 5: Solve for x
    x = 991,392,256.00/36,467
  6. Step 6: Final answer
    x = 27,186.01

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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.