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Finding the Fourth Proportional to 30,717.72, 42,389.82 and 18,781.20

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Solution

The fourth proportional to 30,717.72, 42,389.82 and 18,781.20 is: 25,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,717.72 : 42,389.82 = 18,781.20 : x
  2. Step 2: Convert to fraction form
    30,717.72/42,389.82 = 18,781.20/x
  3. Step 3: Cross multiply
    30,717.72x = 42,389.82 × 18,781.20
  4. Step 4: Simplify right side
    30,717.72x = 796,131,687.38
  5. Step 5: Solve for x
    x = 796,131,687.38/30,717.72
  6. Step 6: Final answer
    x = 25,917.67

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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.