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Finding the Fourth Proportional to 31,771.31, 47,657.31 and 9,584.88

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Solution

The fourth proportional to 31,771.31, 47,657.31 and 9,584.88 is: 14,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.31 : 47,657.31 = 9,584.88 : x
  2. Step 2: Convert to fraction form
    31,771.31/47,657.31 = 9,584.88/x
  3. Step 3: Cross multiply
    31,771.31x = 47,657.31 × 9,584.88
  4. Step 4: Simplify right side
    31,771.31x = 456,789,597.47
  5. Step 5: Solve for x
    x = 456,789,597.47/31,771.31
  6. Step 6: Final answer
    x = 14,377.42

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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.