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Finding the Fourth Proportional to 36,541, 50,426.63 and 19,774

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Solution

The fourth proportional to 36,541, 50,426.63 and 19,774 is: 27,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,541 : 50,426.63 = 19,774 : x
  2. Step 2: Convert to fraction form
    36,541/50,426.63 = 19,774/x
  3. Step 3: Cross multiply
    36,541x = 50,426.63 × 19,774
  4. Step 4: Simplify right side
    36,541x = 997,136,181.62
  5. Step 5: Solve for x
    x = 997,136,181.62/36,541
  6. Step 6: Final answer
    x = 27,288.15

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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.