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Finding the Fourth Proportional to 31,464.79, 47,196.95 and 12,744.54

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Solution

The fourth proportional to 31,464.79, 47,196.95 and 12,744.54 is: 19,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464.79 : 47,196.95 = 12,744.54 : x
  2. Step 2: Convert to fraction form
    31,464.79/47,196.95 = 12,744.54/x
  3. Step 3: Cross multiply
    31,464.79x = 47,196.95 × 12,744.54
  4. Step 4: Simplify right side
    31,464.79x = 601,503,353.43
  5. Step 5: Solve for x
    x = 601,503,353.43/31,464.79
  6. Step 6: Final answer
    x = 19,116.71

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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.