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Finding the Fourth Proportional to 51,676.79, 71,305.38 and 30,453.17

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Solution

The fourth proportional to 51,676.79, 71,305.38 and 30,453.17 is: 42,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,676.79 : 71,305.38 = 30,453.17 : x
  2. Step 2: Convert to fraction form
    51,676.79/71,305.38 = 30,453.17/x
  3. Step 3: Cross multiply
    51,676.79x = 71,305.38 × 30,453.17
  4. Step 4: Simplify right side
    51,676.79x = 2,171,474,502.53
  5. Step 5: Solve for x
    x = 2,171,474,502.53/51,676.79
  6. Step 6: Final answer
    x = 42,020.31

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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.