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Finding the Fourth Proportional to 31,745.16, 47,608.20 and 19,916.88

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Solution

The fourth proportional to 31,745.16, 47,608.20 and 19,916.88 is: 29,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.16 : 47,608.20 = 19,916.88 : x
  2. Step 2: Convert to fraction form
    31,745.16/47,608.20 = 19,916.88/x
  3. Step 3: Cross multiply
    31,745.16x = 47,608.20 × 19,916.88
  4. Step 4: Simplify right side
    31,745.16x = 948,206,806.42
  5. Step 5: Solve for x
    x = 948,206,806.42/31,745.16
  6. Step 6: Final answer
    x = 29,869.33

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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.