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Finding the Fourth Proportional to 31,861.43, 47,789.04 and 9,675.00

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Solution

The fourth proportional to 31,861.43, 47,789.04 and 9,675.00 is: 14,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861.43 : 47,789.04 = 9,675.00 : x
  2. Step 2: Convert to fraction form
    31,861.43/47,789.04 = 9,675.00/x
  3. Step 3: Cross multiply
    31,861.43x = 47,789.04 × 9,675.00
  4. Step 4: Simplify right side
    31,861.43x = 462,358,723.05
  5. Step 5: Solve for x
    x = 462,358,723.05/31,861.43
  6. Step 6: Final answer
    x = 14,511.55

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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.