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Finding the Fourth Proportional to 34,744.34, 47,947.17 and 18,828.78

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Solution

The fourth proportional to 34,744.34, 47,947.17 and 18,828.78 is: 25,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,744.34 : 47,947.17 = 18,828.78 : x
  2. Step 2: Convert to fraction form
    34,744.34/47,947.17 = 18,828.78/x
  3. Step 3: Cross multiply
    34,744.34x = 47,947.17 × 18,828.78
  4. Step 4: Simplify right side
    34,744.34x = 902,786,715.55
  5. Step 5: Solve for x
    x = 902,786,715.55/34,744.34
  6. Step 6: Final answer
    x = 25,983.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.