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Finding the Fourth Proportional to 31,576, 47,372.10 and 10,799.50

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Solution

The fourth proportional to 31,576, 47,372.10 and 10,799.50 is: 16,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,576 : 47,372.10 = 10,799.50 : x
  2. Step 2: Convert to fraction form
    31,576/47,372.10 = 10,799.50/x
  3. Step 3: Cross multiply
    31,576x = 47,372.10 × 10,799.50
  4. Step 4: Simplify right side
    31,576x = 511,594,993.95
  5. Step 5: Solve for x
    x = 511,594,993.95/31,576
  6. Step 6: Final answer
    x = 16,202.02

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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.