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Finding the Fourth Proportional to 31,607.85, 47,414.49 and 8,234.25

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Solution

The fourth proportional to 31,607.85, 47,414.49 and 8,234.25 is: 12,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.85 : 47,414.49 = 8,234.25 : x
  2. Step 2: Convert to fraction form
    31,607.85/47,414.49 = 8,234.25/x
  3. Step 3: Cross multiply
    31,607.85x = 47,414.49 × 8,234.25
  4. Step 4: Simplify right side
    31,607.85x = 390,422,764.28
  5. Step 5: Solve for x
    x = 390,422,764.28/31,607.85
  6. Step 6: Final answer
    x = 12,352.08

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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.