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Finding the Fourth Proportional to 36,501, 50,371.38 and 19,734

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Solution

The fourth proportional to 36,501, 50,371.38 and 19,734 is: 27,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,501 : 50,371.38 = 19,734 : x
  2. Step 2: Convert to fraction form
    36,501/50,371.38 = 19,734/x
  3. Step 3: Cross multiply
    36,501x = 50,371.38 × 19,734
  4. Step 4: Simplify right side
    36,501x = 994,028,812.92
  5. Step 5: Solve for x
    x = 994,028,812.92/36,501
  6. Step 6: Final answer
    x = 27,232.92

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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.