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Finding the Fourth Proportional to 31,924.56, 47,872.92 and 10,858.88

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Solution

The fourth proportional to 31,924.56, 47,872.92 and 10,858.88 is: 16,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.56 : 47,872.92 = 10,858.88 : x
  2. Step 2: Convert to fraction form
    31,924.56/47,872.92 = 10,858.88/x
  3. Step 3: Cross multiply
    31,924.56x = 47,872.92 × 10,858.88
  4. Step 4: Simplify right side
    31,924.56x = 519,846,293.53
  5. Step 5: Solve for x
    x = 519,846,293.53/31,924.56
  6. Step 6: Final answer
    x = 16,283.59

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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.