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Finding the Fourth Proportional to 31,947.78, 47,925 and 12,243

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Solution

The fourth proportional to 31,947.78, 47,925 and 12,243 is: 18,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947.78 : 47,925 = 12,243 : x
  2. Step 2: Convert to fraction form
    31,947.78/47,925 = 12,243/x
  3. Step 3: Cross multiply
    31,947.78x = 47,925 × 12,243
  4. Step 4: Simplify right side
    31,947.78x = 586,745,775
  5. Step 5: Solve for x
    x = 586,745,775/31,947.78
  6. Step 6: Final answer
    x = 18,365.78

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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.