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Finding the Fourth Proportional to 34,736.12, 47,935.78 and 18,821

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Solution

The fourth proportional to 34,736.12, 47,935.78 and 18,821 is: 25,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,736.12 : 47,935.78 = 18,821 : x
  2. Step 2: Convert to fraction form
    34,736.12/47,935.78 = 18,821/x
  3. Step 3: Cross multiply
    34,736.12x = 47,935.78 × 18,821
  4. Step 4: Simplify right side
    34,736.12x = 902,199,315.38
  5. Step 5: Solve for x
    x = 902,199,315.38/34,736.12
  6. Step 6: Final answer
    x = 25,972.94

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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.