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Finding the Fourth Proportional to 29,704, 40,991.52 and 17,767.84

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Solution

The fourth proportional to 29,704, 40,991.52 and 17,767.84 is: 24,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,704 : 40,991.52 = 17,767.84 : x
  2. Step 2: Convert to fraction form
    29,704/40,991.52 = 17,767.84/x
  3. Step 3: Cross multiply
    29,704x = 40,991.52 × 17,767.84
  4. Step 4: Simplify right side
    29,704x = 728,330,768.72
  5. Step 5: Solve for x
    x = 728,330,768.72/29,704
  6. Step 6: Final answer
    x = 24,519.62

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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.