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Finding the Fourth Proportional to 30,991.38, 42,767.20 and 17,563.87

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Solution

The fourth proportional to 30,991.38, 42,767.20 and 17,563.87 is: 24,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.38 : 42,767.20 = 17,563.87 : x
  2. Step 2: Convert to fraction form
    30,991.38/42,767.20 = 17,563.87/x
  3. Step 3: Cross multiply
    30,991.38x = 42,767.20 × 17,563.87
  4. Step 4: Simplify right side
    30,991.38x = 751,157,616.48
  5. Step 5: Solve for x
    x = 751,157,616.48/30,991.38
  6. Step 6: Final answer
    x = 24,237.63

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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.