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Finding the Fourth Proportional to 36,461, 50,316.20 and 19,694

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Solution

The fourth proportional to 36,461, 50,316.20 and 19,694 is: 27,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,461 : 50,316.20 = 19,694 : x
  2. Step 2: Convert to fraction form
    36,461/50,316.20 = 19,694/x
  3. Step 3: Cross multiply
    36,461x = 50,316.20 × 19,694
  4. Step 4: Simplify right side
    36,461x = 990,927,242.80
  5. Step 5: Solve for x
    x = 990,927,242.80/36,461
  6. Step 6: Final answer
    x = 27,177.73

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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.