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Finding the Fourth Proportional to 31,676.13, 47,516.76 and 8,302.50

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Solution

The fourth proportional to 31,676.13, 47,516.76 and 8,302.50 is: 12,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.13 : 47,516.76 = 8,302.50 : x
  2. Step 2: Convert to fraction form
    31,676.13/47,516.76 = 8,302.50/x
  3. Step 3: Cross multiply
    31,676.13x = 47,516.76 × 8,302.50
  4. Step 4: Simplify right side
    31,676.13x = 394,507,899.90
  5. Step 5: Solve for x
    x = 394,507,899.90/31,676.13
  6. Step 6: Final answer
    x = 12,454.42

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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.