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Finding the Fourth Proportional to 31,676.74, 47,525.67 and 10,618.88

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Solution

The fourth proportional to 31,676.74, 47,525.67 and 10,618.88 is: 15,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.74 : 47,525.67 = 10,618.88 : x
  2. Step 2: Convert to fraction form
    31,676.74/47,525.67 = 10,618.88/x
  3. Step 3: Cross multiply
    31,676.74x = 47,525.67 × 10,618.88
  4. Step 4: Simplify right side
    31,676.74x = 504,669,149.02
  5. Step 5: Solve for x
    x = 504,669,149.02/31,676.74
  6. Step 6: Final answer
    x = 15,931.85

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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.