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Finding the Fourth Proportional to 36,732, 50,690.34 and 19,965

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Solution

The fourth proportional to 36,732, 50,690.34 and 19,965 is: 27,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,732 : 50,690.34 = 19,965 : x
  2. Step 2: Convert to fraction form
    36,732/50,690.34 = 19,965/x
  3. Step 3: Cross multiply
    36,732x = 50,690.34 × 19,965
  4. Step 4: Simplify right side
    36,732x = 1,012,032,638.10
  5. Step 5: Solve for x
    x = 1,012,032,638.10/36,732
  6. Step 6: Final answer
    x = 27,551.80

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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.