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Finding the Fourth Proportional to 31,644, 47,449.40 and 12,913.56

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Solution

The fourth proportional to 31,644, 47,449.40 and 12,913.56 is: 19,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644 : 47,449.40 = 12,913.56 : x
  2. Step 2: Convert to fraction form
    31,644/47,449.40 = 12,913.56/x
  3. Step 3: Cross multiply
    31,644x = 47,449.40 × 12,913.56
  4. Step 4: Simplify right side
    31,644x = 612,740,609.30
  5. Step 5: Solve for x
    x = 612,740,609.30/31,644
  6. Step 6: Final answer
    x = 19,363.56

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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.