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Finding the Fourth Proportional to 31,891.56, 47,847.59 and 9,709.23

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Solution

The fourth proportional to 31,891.56, 47,847.59 and 9,709.23 is: 14,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.56 : 47,847.59 = 9,709.23 : x
  2. Step 2: Convert to fraction form
    31,891.56/47,847.59 = 9,709.23/x
  3. Step 3: Cross multiply
    31,891.56x = 47,847.59 × 9,709.23
  4. Step 4: Simplify right side
    31,891.56x = 464,563,256.26
  5. Step 5: Solve for x
    x = 464,563,256.26/31,891.56
  6. Step 6: Final answer
    x = 14,566.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.