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Finding the Fourth Proportional to 31,676.97, 47,507.97 and 10,617.78

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Solution

The fourth proportional to 31,676.97, 47,507.97 and 10,617.78 is: 15,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.97 : 47,507.97 = 10,617.78 : x
  2. Step 2: Convert to fraction form
    31,676.97/47,507.97 = 10,617.78/x
  3. Step 3: Cross multiply
    31,676.97x = 47,507.97 × 10,617.78
  4. Step 4: Simplify right side
    31,676.97x = 504,429,173.71
  5. Step 5: Solve for x
    x = 504,429,173.71/31,676.97
  6. Step 6: Final answer
    x = 15,924.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.