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Finding the Fourth Proportional to 31,847.63, 47,766.10 and 9,655.70

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Solution

The fourth proportional to 31,847.63, 47,766.10 and 9,655.70 is: 14,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.63 : 47,766.10 = 9,655.70 : x
  2. Step 2: Convert to fraction form
    31,847.63/47,766.10 = 9,655.70/x
  3. Step 3: Cross multiply
    31,847.63x = 47,766.10 × 9,655.70
  4. Step 4: Simplify right side
    31,847.63x = 461,214,892.94
  5. Step 5: Solve for x
    x = 461,214,892.94/31,847.63
  6. Step 6: Final answer
    x = 14,481.92

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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.